Alaska is about 380 times bigger than South Georgia and South Sandwich Islands.

South Georgia and South Sandwich Islands is approximately 3,903 sq km, while Alaska is approximately 1,481,348 sq km, making Alaska 37,854% larger than South Georgia and South Sandwich Islands.
Tip: This to-scale comparison of South Georgia and South Sandwich Islands vs. Alaska uses the Mercator projection, which distorts the size of regions near the poles.

Compare further: Alaska vs. South Georgia and South Sandwich Islands