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Finding the Fourth Proportional to 257,819.92, 386,882.98 and 139,488.64

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Solution

The fourth proportional to 257,819.92, 386,882.98 and 139,488.64 is: 209,315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,819.92 : 386,882.98 = 139,488.64 : x
  2. Step 2: Convert to fraction form
    257,819.92/386,882.98 = 139,488.64/x
  3. Step 3: Cross multiply
    257,819.92x = 386,882.98 × 139,488.64
  4. Step 4: Simplify right side
    257,819.92x = 53,965,780,719.35
  5. Step 5: Solve for x
    x = 53,965,780,719.35/257,819.92
  6. Step 6: Final answer
    x = 209,315.79

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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.