Finding the Fourth Proportional to 416,100,302.12, 574,000,711.20 and 257,279,654.99
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Solution
The fourth proportional to 416,100,302.12, 574,000,711.20 and 257,279,654.99 is: 354,911,313.91
Step by Step Solution
- Step 1: Write the proportion equation
416,100,302.12 : 574,000,711.20 = 257,279,654.99 : x - Step 2: Convert to fraction form
416,100,302.12/574,000,711.20 = 257,279,654.99/x - Step 3: Cross multiply
416,100,302.12x = 574,000,711.20 × 257,279,654.99 - Step 4: Simplify right side
416,100,302.12x = 147,678,704,942,985,632 - Step 5: Solve for x
x = 147,678,704,942,985,632/416,100,302.12 - Step 6: Final answer
x = 354,911,313.91
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.