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Finding the Fourth Proportional to 381,882.60, 572,823.90 and 101,428.20

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Solution

The fourth proportional to 381,882.60, 572,823.90 and 101,428.20 is: 152,142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,882.60 : 572,823.90 = 101,428.20 : x
  2. Step 2: Convert to fraction form
    381,882.60/572,823.90 = 101,428.20/x
  3. Step 3: Cross multiply
    381,882.60x = 572,823.90 × 101,428.20
  4. Step 4: Simplify right side
    381,882.60x = 58,100,497,093.98
  5. Step 5: Solve for x
    x = 58,100,497,093.98/381,882.60
  6. Step 6: Final answer
    x = 152,142.30

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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.