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Finding the Fourth Proportional to 381,882, 572,823 and 132,564

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Solution

The fourth proportional to 381,882, 572,823 and 132,564 is: 198,846

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,882 : 572,823 = 132,564 : x
  2. Step 2: Convert to fraction form
    381,882/572,823 = 132,564/x
  3. Step 3: Cross multiply
    381,882x = 572,823 × 132,564
  4. Step 4: Simplify right side
    381,882x = 75,935,708,172
  5. Step 5: Solve for x
    x = 75,935,708,172/381,882
  6. Step 6: Final answer
    x = 198,846

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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.