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Finding the Fourth Proportional to 261,352.28, 391,717.38 and 150,311

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Solution

The fourth proportional to 261,352.28, 391,717.38 and 150,311 is: 225,287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,352.28 : 391,717.38 = 150,311 : x
  2. Step 2: Convert to fraction form
    261,352.28/391,717.38 = 150,311/x
  3. Step 3: Cross multiply
    261,352.28x = 391,717.38 × 150,311
  4. Step 4: Simplify right side
    261,352.28x = 58,879,431,105.18
  5. Step 5: Solve for x
    x = 58,879,431,105.18/261,352.28
  6. Step 6: Final answer
    x = 225,287.61

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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.