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Finding the Fourth Proportional to 381,380.56, 572,155.89 and 125,224.54

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Solution

The fourth proportional to 381,380.56, 572,155.89 and 125,224.54 is: 187,864.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,380.56 : 572,155.89 = 125,224.54 : x
  2. Step 2: Convert to fraction form
    381,380.56/572,155.89 = 125,224.54/x
  3. Step 3: Cross multiply
    381,380.56x = 572,155.89 × 125,224.54
  4. Step 4: Simplify right side
    381,380.56x = 71,647,958,133.54
  5. Step 5: Solve for x
    x = 71,647,958,133.54/381,380.56
  6. Step 6: Final answer
    x = 187,864.74

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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.