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Finding the Fourth Proportional to 381,397.25, 572,077.29 and 141,557.84

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Solution

The fourth proportional to 381,397.25, 572,077.29 and 141,557.84 is: 212,329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,397.25 : 572,077.29 = 141,557.84 : x
  2. Step 2: Convert to fraction form
    381,397.25/572,077.29 = 141,557.84/x
  3. Step 3: Cross multiply
    381,397.25x = 572,077.29 × 141,557.84
  4. Step 4: Simplify right side
    381,397.25x = 80,982,022,625.07
  5. Step 5: Solve for x
    x = 80,982,022,625.07/381,397.25
  6. Step 6: Final answer
    x = 212,329.85

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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.