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Finding the Fourth Proportional to 257,491.68, 386,344.17 and 139,023.78

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Solution

The fourth proportional to 257,491.68, 386,344.17 and 139,023.78 is: 208,593.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,491.68 : 386,344.17 = 139,023.78 : x
  2. Step 2: Convert to fraction form
    257,491.68/386,344.17 = 139,023.78/x
  3. Step 3: Cross multiply
    257,491.68x = 386,344.17 × 139,023.78
  4. Step 4: Simplify right side
    257,491.68x = 53,711,026,894.36
  5. Step 5: Solve for x
    x = 53,711,026,894.36/257,491.68
  6. Step 6: Final answer
    x = 208,593.25

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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.