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Finding the Fourth Proportional to 392,471.10, 588,707.25 and 111,988.35

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Solution

The fourth proportional to 392,471.10, 588,707.25 and 111,988.35 is: 167,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,471.10 : 588,707.25 = 111,988.35 : x
  2. Step 2: Convert to fraction form
    392,471.10/588,707.25 = 111,988.35/x
  3. Step 3: Cross multiply
    392,471.10x = 588,707.25 × 111,988.35
  4. Step 4: Simplify right side
    392,471.10x = 65,928,353,560.54
  5. Step 5: Solve for x
    x = 65,928,353,560.54/392,471.10
  6. Step 6: Final answer
    x = 167,982.70

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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.