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Finding the Fourth Proportional to 381,001.78, 571,526.40 and 100,519.30

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Solution

The fourth proportional to 381,001.78, 571,526.40 and 100,519.30 is: 150,785.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,001.78 : 571,526.40 = 100,519.30 : x
  2. Step 2: Convert to fraction form
    381,001.78/571,526.40 = 100,519.30/x
  3. Step 3: Cross multiply
    381,001.78x = 571,526.40 × 100,519.30
  4. Step 4: Simplify right side
    381,001.78x = 57,449,433,659.52
  5. Step 5: Solve for x
    x = 57,449,433,659.52/381,001.78
  6. Step 6: Final answer
    x = 150,785.21

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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.