Finding the Fourth Proportional to 498,102,475.70, 687,444,821.97 and 289,217,031.86
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Solution
The fourth proportional to 498,102,475.70, 687,444,821.97 and 289,217,031.86 is: 399,156,319.59
Step by Step Solution
- Step 1: Write the proportion equation
498,102,475.70 : 687,444,821.97 = 289,217,031.86 : x - Step 2: Convert to fraction form
498,102,475.70/687,444,821.97 = 289,217,031.86/x - Step 3: Cross multiply
498,102,475.70x = 687,444,821.97 × 289,217,031.86 - Step 4: Simplify right side
498,102,475.70x = 198,820,750,977,689,536 - Step 5: Solve for x
x = 198,820,750,977,689,536/498,102,475.70 - Step 6: Final answer
x = 399,156,319.59
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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.