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Finding the Fourth Proportional to 381,778.20, 572,744.10 and 132,408.60

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Solution

The fourth proportional to 381,778.20, 572,744.10 and 132,408.60 is: 198,639.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,778.20 : 572,744.10 = 132,408.60 : x
  2. Step 2: Convert to fraction form
    381,778.20/572,744.10 = 132,408.60/x
  3. Step 3: Cross multiply
    381,778.20x = 572,744.10 × 132,408.60
  4. Step 4: Simplify right side
    381,778.20x = 75,836,244,439.26
  5. Step 5: Solve for x
    x = 75,836,244,439.26/381,778.20
  6. Step 6: Final answer
    x = 198,639.54

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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.