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Finding the Fourth Proportional to 392,225.28, 588,240.72 and 111,744.96

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Solution

The fourth proportional to 392,225.28, 588,240.72 and 111,744.96 is: 167,589.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,225.28 : 588,240.72 = 111,744.96 : x
  2. Step 2: Convert to fraction form
    392,225.28/588,240.72 = 111,744.96/x
  3. Step 3: Cross multiply
    392,225.28x = 588,240.72 × 111,744.96
  4. Step 4: Simplify right side
    392,225.28x = 65,732,935,726.77
  5. Step 5: Solve for x
    x = 65,732,935,726.77/392,225.28
  6. Step 6: Final answer
    x = 167,589.75

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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.