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Finding the Fourth Proportional to 391,940.32, 587,988.24 and 142,641.76

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Solution

The fourth proportional to 391,940.32, 587,988.24 and 142,641.76 is: 213,990.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,940.32 : 587,988.24 = 142,641.76 : x
  2. Step 2: Convert to fraction form
    391,940.32/587,988.24 = 142,641.76/x
  3. Step 3: Cross multiply
    391,940.32x = 587,988.24 × 142,641.76
  4. Step 4: Simplify right side
    391,940.32x = 83,871,677,412.90
  5. Step 5: Solve for x
    x = 83,871,677,412.90/391,940.32
  6. Step 6: Final answer
    x = 213,990.94

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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.