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Finding the Fourth Proportional to 521,610.40, 781,103.40 and 343,151.20

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Solution

The fourth proportional to 521,610.40, 781,103.40 and 343,151.20 is: 513,863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,610.40 : 781,103.40 = 343,151.20 : x
  2. Step 2: Convert to fraction form
    521,610.40/781,103.40 = 343,151.20/x
  3. Step 3: Cross multiply
    521,610.40x = 781,103.40 × 343,151.20
  4. Step 4: Simplify right side
    521,610.40x = 268,036,569,034.08
  5. Step 5: Solve for x
    x = 268,036,569,034.08/521,610.40
  6. Step 6: Final answer
    x = 513,863.54

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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.