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Finding the Fourth Proportional to 391,787.80, 587,876.10 and 155,138.20

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Solution

The fourth proportional to 391,787.80, 587,876.10 and 155,138.20 is: 232,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,787.80 : 587,876.10 = 155,138.20 : x
  2. Step 2: Convert to fraction form
    391,787.80/587,876.10 = 155,138.20/x
  3. Step 3: Cross multiply
    391,787.80x = 587,876.10 × 155,138.20
  4. Step 4: Simplify right side
    391,787.80x = 91,202,039,977.02
  5. Step 5: Solve for x
    x = 91,202,039,977.02/391,787.80
  6. Step 6: Final answer
    x = 232,784.28

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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.