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Finding the Fourth Proportional to 391,630.80, 587,446.20 and 142,280.40

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Solution

The fourth proportional to 391,630.80, 587,446.20 and 142,280.40 is: 213,420.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,630.80 : 587,446.20 = 142,280.40 : x
  2. Step 2: Convert to fraction form
    391,630.80/587,446.20 = 142,280.40/x
  3. Step 3: Cross multiply
    391,630.80x = 587,446.20 × 142,280.40
  4. Step 4: Simplify right side
    391,630.80x = 83,582,080,314.48
  5. Step 5: Solve for x
    x = 83,582,080,314.48/391,630.80
  6. Step 6: Final answer
    x = 213,420.60

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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.