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Finding the Fourth Proportional to 381,778.20, 572,732.10 and 115,536.60

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Solution

The fourth proportional to 381,778.20, 572,732.10 and 115,536.60 is: 173,324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,778.20 : 572,732.10 = 115,536.60 : x
  2. Step 2: Convert to fraction form
    381,778.20/572,732.10 = 115,536.60/x
  3. Step 3: Cross multiply
    381,778.20x = 572,732.10 × 115,536.60
  4. Step 4: Simplify right side
    381,778.20x = 66,171,519,544.86
  5. Step 5: Solve for x
    x = 66,171,519,544.86/381,778.20
  6. Step 6: Final answer
    x = 173,324.51

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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.