@wheel158,
"I'm not advising this approach (how do you determine the multipliers anyway?), but just throwing out ideas on how to make things more interesting."
I like that. It makes every country relevant. One simple approach is to base the multipliers on the previous results with a cap at some arbitrary value (for instance, assume each country earned at least n points, where n is something like 1, 2, or 3). The multiplier for a country would be the top score (in this case, USA = 346) divided by that country's score. I'd suggest scaling up the previous host's multiplier by dividing it by something like 0.85 (which is how China performed).
Here's what the top end (teams scoring at least 3 points) of such an approach would look like (forgive the crappy formatting):
Gold Silver Bronze Total Points Multiplier
United States of America 46 29 29 104 346 1
People's Republic of China 38 27 23 88 294 1.18
Russian Federation 24 26 32 82 230 1.5
Great Britain 29 17 19 65 215 1.61 (1.89 if adjusted by 0.85)
Germany 11 19 14 44 126 2.75
France 11 11 12 34 100 3.46
Republic of Korea 13 8 7 28 96 3.6
Australia 7 16 12 35 95 3.64
Japan 7 14 17 38 94 3.68
Italy 8 9 11 28 78 4.44
Hungary 8 4 5 17 57 6.07
Netherlands 6 6 8 20 56 6.18
Ukraine 6 5 9 20 54 6.41
Spain 3 10 4 17 49 7.06
Kazakhstan 7 1 5 13 43 8.05
New Zealand 6 2 5 13 41 8.44
Cuba 5 3 6 14 40 8.65
Brazil 3 5 9 17 39 8.87
Islamic Republic of Iran 4 5 3 12 38 9.11
Jamaica 4 4 4 12 36 9.61
Czech Republic 4 3 3 10 32 10.81
Canada 1 5 12 18 32 10.81
Belarus 2 5 5 12 30 11.53
Romania 2 5 2 9 27 12.81
Kenya 2 4 5 11 27 12.81
Denmark 2 4 3 9 25 13.84
Democratic People's Republic of Korea 4 0 2 6 22 15.73
South Africa 3 2 1 6 22 15.73
Azerbaijan 2 2 6 10 22 15.73
Poland 2 2 6 10 22 15.73
Ethiopia 3 1 3 7 21 16.48
Croatia 3 1 2 6 20 17.3
Sweden 1 4 3 8 20 17.3
Colombia 1 3 4 8 18 19.22
Turkey 2 2 1 5 17 20.35
Georgia 1 3 3 7 17 20.35
Mexico 1 3 3 7 17 20.35
Switzerland 2 2 0 4 16 21.63
Lithuania 2 1 2 5 15 23.07
Norway 2 1 1 4 14 24.71
Ireland 1 1 3 5 11 31.45
Argentina 1 1 2 4 10 34.6
Slovenia 1 1 2 4 10 34.6
Serbia 1 1 2 4 10 34.6
India 0 2 4 6 10 34.6
Tunisia 1 1 1 3 9 38.44
Mongolia 0 2 3 5 9 38.44
Dominican Republic 1 1 0 2 8 43.25
Trinidad and Tobago 1 0 3 4 8 43.25
Uzbekistan 1 0 3 4 8 43.25
Thailand 0 2 1 3 7 49.43
Latvia 1 0 1 2 6 57.67
Egypt 0 2 0 2 6 57.67
Slovakia 0 1 3 4 6 57.67
Algeria 1 0 0 1 5 69.2
Bahamas 1 0 0 1 5 69.2
Grenada 1 0 0 1 5 69.2
Uganda 1 0 0 1 5 69.2
Venezuela 1 0 0 1 5 69.2
Armenia 0 1 2 3 5 69.2
Belgium 0 1 2 3 5 69.2
Finland 0 1 2 3 5 69.2
Bulgaria 0 1 1 2 4 86.5
Estonia 0 1 1 2 4 86.5
Indonesia 0 1 1 2 4 86.5
Malaysia 0 1 1 2 4 86.5
Puerto Rico 0 1 1 2 4 86.5
Taipei (Chinese Taipei) 0 1 1 2 4 86.5
Botswana 0 1 0 1 3 115.33
Cyprus 0 1 0 1 3 115.33
Gabon 0 1 0 1 3 115.33
Guatemala 0 1 0 1 3 115.33
Montenegro 0 1 0 1 3 115.33
Portugal 0 1 0 1 3 115.33