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Finding the Fourth Proportional to 381,276, 571,914 and 100,793.25

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Solution

The fourth proportional to 381,276, 571,914 and 100,793.25 is: 151,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,276 : 571,914 = 100,793.25 : x
  2. Step 2: Convert to fraction form
    381,276/571,914 = 100,793.25/x
  3. Step 3: Cross multiply
    381,276x = 571,914 × 100,793.25
  4. Step 4: Simplify right side
    381,276x = 57,645,070,780.50
  5. Step 5: Solve for x
    x = 57,645,070,780.50/381,276
  6. Step 6: Final answer
    x = 151,189.88

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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.