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Finding the Fourth Proportional to 376,211.43, 564,306.21 and 109,978.20

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Solution

The fourth proportional to 376,211.43, 564,306.21 and 109,978.20 is: 164,964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,211.43 : 564,306.21 = 109,978.20 : x
  2. Step 2: Convert to fraction form
    376,211.43/564,306.21 = 109,978.20/x
  3. Step 3: Cross multiply
    376,211.43x = 564,306.21 × 109,978.20
  4. Step 4: Simplify right side
    376,211.43x = 62,061,381,224.62
  5. Step 5: Solve for x
    x = 62,061,381,224.62/376,211.43
  6. Step 6: Final answer
    x = 164,964.10

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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.