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Finding the Fourth Proportional to 381,279.50, 571,919.28 and 100,796.78

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Solution

The fourth proportional to 381,279.50, 571,919.28 and 100,796.78 is: 151,195.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,279.50 : 571,919.28 = 100,796.78 : x
  2. Step 2: Convert to fraction form
    381,279.50/571,919.28 = 100,796.78/x
  3. Step 3: Cross multiply
    381,279.50x = 571,919.28 × 100,796.78
  4. Step 4: Simplify right side
    381,279.50x = 57,647,621,843.92
  5. Step 5: Solve for x
    x = 57,647,621,843.92/381,279.50
  6. Step 6: Final answer
    x = 151,195.18

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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.