The numbers you're using are nowhere even close. You need to severely increase the ratio by 2 or 3 orders or magnitude.
Mortality rate for some diseases is close to 1 in 3 (measles in infants with co-morbodities) to 1 in 100. With vaccines, we have changed that to 1 in 10k or better (with co-morbodities).
For the live virus polio vaccine, 3 out of a million kids would get polio DUE to the vaccine itself. That is peanuts compared to 50k kids (per million) who get polio despite the vaccine. That's also peanuts when we see that reported polio cases fell from 350k around 1990 to 30 around 2010 despite a huge increase in population.