Finding the Fourth Proportional to 461,135,872.80, 691,703,809.20 and 416,654,261.10
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Solution
The fourth proportional to 461,135,872.80, 691,703,809.20 and 416,654,261.10 is: 624,981,391.65
Step by Step Solution
- Step 1: Write the proportion equation
461,135,872.80 : 691,703,809.20 = 416,654,261.10 : x - Step 2: Convert to fraction form
461,135,872.80/691,703,809.20 = 416,654,261.10/x - Step 3: Cross multiply
461,135,872.80x = 691,703,809.20 × 416,654,261.10 - Step 4: Simplify right side
461,135,872.80x = 288,201,339,522,281,408 - Step 5: Solve for x
x = 288,201,339,522,281,408/461,135,872.80 - Step 6: Final answer
x = 624,981,391.65
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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.