Finding the Fourth Proportional to 301,486,510,128.40, 452,229,765,192.60 and 299,394,439,487.80
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Solution
The fourth proportional to 301,486,510,128.40, 452,229,765,192.60 and 299,394,439,487.80 is: 449,091,659,231.70
Step by Step Solution
- Step 1: Write the proportion equation
301,486,510,128.40 : 452,229,765,192.60 = 299,394,439,487.80 : x - Step 2: Convert to fraction form
301,486,510,128.40/452,229,765,192.60 = 299,394,439,487.80/x - Step 3: Cross multiply
301,486,510,128.40x = 452,229,765,192.60 × 299,394,439,487.80 - Step 4: Simplify right side
301,486,510,128.40x = 135,395,077,069,537,863,008,256 - Step 5: Solve for x
x = 135,395,077,069,537,863,008,256/301,486,510,128.40 - Step 6: Final answer
x = 449,091,659,231.70
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.