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Finding the Fourth Proportional to 409,997.92, 615,085.98 and 125,689.54

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Solution

The fourth proportional to 409,997.92, 615,085.98 and 125,689.54 is: 188,561.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,997.92 : 615,085.98 = 125,689.54 : x
  2. Step 2: Convert to fraction form
    409,997.92/615,085.98 = 125,689.54/x
  3. Step 3: Cross multiply
    409,997.92x = 615,085.98 × 125,689.54
  4. Step 4: Simplify right side
    409,997.92x = 77,309,873,886.65
  5. Step 5: Solve for x
    x = 77,309,873,886.65/409,997.92
  6. Step 6: Final answer
    x = 188,561.62

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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.