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Finding the Fourth Proportional to 328,100.76, 491,767.20 and 150,624.90

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Solution

The fourth proportional to 328,100.76, 491,767.20 and 150,624.90 is: 225,761.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,100.76 : 491,767.20 = 150,624.90 : x
  2. Step 2: Convert to fraction form
    328,100.76/491,767.20 = 150,624.90/x
  3. Step 3: Cross multiply
    328,100.76x = 491,767.20 × 150,624.90
  4. Step 4: Simplify right side
    328,100.76x = 74,072,385,323.28
  5. Step 5: Solve for x
    x = 74,072,385,323.28/328,100.76
  6. Step 6: Final answer
    x = 225,761.09

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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.