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Finding the Fourth Proportional to 392,472.40, 588,714 and 111,989.56

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Solution

The fourth proportional to 392,472.40, 588,714 and 111,989.56 is: 167,985.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,472.40 : 588,714 = 111,989.56 : x
  2. Step 2: Convert to fraction form
    392,472.40/588,714 = 111,989.56/x
  3. Step 3: Cross multiply
    392,472.40x = 588,714 × 111,989.56
  4. Step 4: Simplify right side
    392,472.40x = 65,929,821,825.84
  5. Step 5: Solve for x
    x = 65,929,821,825.84/392,472.40
  6. Step 6: Final answer
    x = 167,985.88

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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.