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Finding the Fourth Proportional to 392,472.10, 588,708.75 and 111,989.35

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Solution

The fourth proportional to 392,472.10, 588,708.75 and 111,989.35 is: 167,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,472.10 : 588,708.75 = 111,989.35 : x
  2. Step 2: Convert to fraction form
    392,472.10/588,708.75 = 111,989.35/x
  3. Step 3: Cross multiply
    392,472.10x = 588,708.75 × 111,989.35
  4. Step 4: Simplify right side
    392,472.10x = 65,929,110,251.81
  5. Step 5: Solve for x
    x = 65,929,110,251.81/392,472.10
  6. Step 6: Final answer
    x = 167,984.20

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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.