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Finding the Fourth Proportional to 510,151.38, 703,978.20 and 280,700.25

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Solution

The fourth proportional to 510,151.38, 703,978.20 and 280,700.25 is: 387,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,151.38 : 703,978.20 = 280,700.25 : x
  2. Step 2: Convert to fraction form
    510,151.38/703,978.20 = 280,700.25/x
  3. Step 3: Cross multiply
    510,151.38x = 703,978.20 × 280,700.25
  4. Step 4: Simplify right side
    510,151.38x = 197,606,856,734.55
  5. Step 5: Solve for x
    x = 197,606,856,734.55/510,151.38
  6. Step 6: Final answer
    x = 387,349.45

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Similar ratio
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1.5x scale

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.