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Finding the Fourth Proportional to 381,843.72, 572,720.70 and 101,382.60

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Solution

The fourth proportional to 381,843.72, 572,720.70 and 101,382.60 is: 152,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,843.72 : 572,720.70 = 101,382.60 : x
  2. Step 2: Convert to fraction form
    381,843.72/572,720.70 = 101,382.60/x
  3. Step 3: Cross multiply
    381,843.72x = 572,720.70 × 101,382.60
  4. Step 4: Simplify right side
    381,843.72x = 58,063,913,639.82
  5. Step 5: Solve for x
    x = 58,063,913,639.82/381,843.72
  6. Step 6: Final answer
    x = 152,061.98

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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.