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Finding the Fourth Proportional to 392,254.92, 588,581.10 and 178,999.20

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Solution

The fourth proportional to 392,254.92, 588,581.10 and 178,999.20 is: 268,589.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,254.92 : 588,581.10 = 178,999.20 : x
  2. Step 2: Convert to fraction form
    392,254.92/588,581.10 = 178,999.20/x
  3. Step 3: Cross multiply
    392,254.92x = 588,581.10 × 178,999.20
  4. Step 4: Simplify right side
    392,254.92x = 105,355,546,035.12
  5. Step 5: Solve for x
    x = 105,355,546,035.12/392,254.92
  6. Step 6: Final answer
    x = 268,589.48

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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.