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Finding the Fourth Proportional to 521,131.90, 781,697.85 and 311,007.10

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Solution

The fourth proportional to 521,131.90, 781,697.85 and 311,007.10 is: 466,510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,131.90 : 781,697.85 = 311,007.10 : x
  2. Step 2: Convert to fraction form
    521,131.90/781,697.85 = 311,007.10/x
  3. Step 3: Cross multiply
    521,131.90x = 781,697.85 × 311,007.10
  4. Step 4: Simplify right side
    521,131.90x = 243,113,581,404.74
  5. Step 5: Solve for x
    x = 243,113,581,404.74/521,131.90
  6. Step 6: Final answer
    x = 466,510.65

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Similar ratio
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1.5x scale

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.