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Finding the Fourth Proportional to 381,418.62, 572,209.96 and 128,705.38

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Solution

The fourth proportional to 381,418.62, 572,209.96 and 128,705.38 is: 193,085.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,418.62 : 572,209.96 = 128,705.38 : x
  2. Step 2: Convert to fraction form
    381,418.62/572,209.96 = 128,705.38/x
  3. Step 3: Cross multiply
    381,418.62x = 572,209.96 × 128,705.38
  4. Step 4: Simplify right side
    381,418.62x = 73,646,500,341.58
  5. Step 5: Solve for x
    x = 73,646,500,341.58/381,418.62
  6. Step 6: Final answer
    x = 193,085.75

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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.