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Finding the Fourth Proportional to 392,705.92, 588,983.70 and 108,325.76

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Solution

The fourth proportional to 392,705.92, 588,983.70 and 108,325.76 is: 162,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,705.92 : 588,983.70 = 108,325.76 : x
  2. Step 2: Convert to fraction form
    392,705.92/588,983.70 = 108,325.76/x
  3. Step 3: Cross multiply
    392,705.92x = 588,983.70 × 108,325.76
  4. Step 4: Simplify right side
    392,705.92x = 63,802,104,391.42
  5. Step 5: Solve for x
    x = 63,802,104,391.42/392,705.92
  6. Step 6: Final answer
    x = 162,467.90

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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.