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Finding the Fourth Proportional to 392,470.40, 588,711 and 111,987.56

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Solution

The fourth proportional to 392,470.40, 588,711 and 111,987.56 is: 167,982.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,470.40 : 588,711 = 111,987.56 : x
  2. Step 2: Convert to fraction form
    392,470.40/588,711 = 111,987.56/x
  3. Step 3: Cross multiply
    392,470.40x = 588,711 × 111,987.56
  4. Step 4: Simplify right side
    392,470.40x = 65,928,308,435.16
  5. Step 5: Solve for x
    x = 65,928,308,435.16/392,470.40
  6. Step 6: Final answer
    x = 167,982.88

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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.