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Finding the Fourth Proportional to 381,382.98, 572,098.77 and 128,688.90

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Solution

The fourth proportional to 381,382.98, 572,098.77 and 128,688.90 is: 193,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,382.98 : 572,098.77 = 128,688.90 : x
  2. Step 2: Convert to fraction form
    381,382.98/572,098.77 = 128,688.90/x
  3. Step 3: Cross multiply
    381,382.98x = 572,098.77 × 128,688.90
  4. Step 4: Simplify right side
    381,382.98x = 73,622,761,402.65
  5. Step 5: Solve for x
    x = 73,622,761,402.65/381,382.98
  6. Step 6: Final answer
    x = 193,041.55

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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.