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Finding the Fourth Proportional to 391,945.23, 588,016.58 and 111,462.48

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Solution

The fourth proportional to 391,945.23, 588,016.58 and 111,462.48 is: 167,221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,945.23 : 588,016.58 = 111,462.48 : x
  2. Step 2: Convert to fraction form
    391,945.23/588,016.58 = 111,462.48/x
  3. Step 3: Cross multiply
    391,945.23x = 588,016.58 × 111,462.48
  4. Step 4: Simplify right side
    391,945.23x = 65,541,785,730.61
  5. Step 5: Solve for x
    x = 65,541,785,730.61/391,945.23
  6. Step 6: Final answer
    x = 167,221.80

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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.