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Finding the Fourth Proportional to 381,878.10, 572,817.15 and 101,423.70

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Solution

The fourth proportional to 381,878.10, 572,817.15 and 101,423.70 is: 152,135.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,878.10 : 572,817.15 = 101,423.70 : x
  2. Step 2: Convert to fraction form
    381,878.10/572,817.15 = 101,423.70/x
  3. Step 3: Cross multiply
    381,878.10x = 572,817.15 × 101,423.70
  4. Step 4: Simplify right side
    381,878.10x = 58,097,234,776.46
  5. Step 5: Solve for x
    x = 58,097,234,776.46/381,878.10
  6. Step 6: Final answer
    x = 152,135.55

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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.