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Finding the Fourth Proportional to 381,778.11, 572,125.54 and 281,149.11

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Solution

The fourth proportional to 381,778.11, 572,125.54 and 281,149.11 is: 421,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,778.11 : 572,125.54 = 281,149.11 : x
  2. Step 2: Convert to fraction form
    381,778.11/572,125.54 = 281,149.11/x
  3. Step 3: Cross multiply
    381,778.11x = 572,125.54 × 281,149.11
  4. Step 4: Simplify right side
    381,778.11x = 160,852,582,112.90
  5. Step 5: Solve for x
    x = 160,852,582,112.90/381,778.11
  6. Step 6: Final answer
    x = 421,324.80

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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.