Finding the Fourth Proportional to 409,539,201.60, 614,308,802.40 and 398,201,793.60
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Solution
The fourth proportional to 409,539,201.60, 614,308,802.40 and 398,201,793.60 is: 597,302,690.40
Step by Step Solution
- Step 1: Write the proportion equation
409,539,201.60 : 614,308,802.40 = 398,201,793.60 : x - Step 2: Convert to fraction form
409,539,201.60/614,308,802.40 = 398,201,793.60/x - Step 3: Cross multiply
409,539,201.60x = 614,308,802.40 × 398,201,793.60 - Step 4: Simplify right side
409,539,201.60x = 244,618,866,939,948,000 - Step 5: Solve for x
x = 244,618,866,939,948,000/409,539,201.60 - Step 6: Final answer
x = 597,302,690.40
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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.