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Finding the Fourth Proportional to 392,125.30, 588,187.78 and 111,642.55

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Solution

The fourth proportional to 392,125.30, 588,187.78 and 111,642.55 is: 167,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,125.30 : 588,187.78 = 111,642.55 : x
  2. Step 2: Convert to fraction form
    392,125.30/588,187.78 = 111,642.55/x
  3. Step 3: Cross multiply
    392,125.30x = 588,187.78 × 111,642.55
  4. Step 4: Simplify right side
    392,125.30x = 65,666,783,638.04
  5. Step 5: Solve for x
    x = 65,666,783,638.04/392,125.30
  6. Step 6: Final answer
    x = 167,463.78

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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.