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Finding the Fourth Proportional to 261,532.78, 391,924.87 and 148,980.71

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Solution

The fourth proportional to 261,532.78, 391,924.87 and 148,980.71 is: 223,257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,532.78 : 391,924.87 = 148,980.71 : x
  2. Step 2: Convert to fraction form
    261,532.78/391,924.87 = 148,980.71/x
  3. Step 3: Cross multiply
    261,532.78x = 391,924.87 × 148,980.71
  4. Step 4: Simplify right side
    261,532.78x = 58,389,245,399.26
  5. Step 5: Solve for x
    x = 58,389,245,399.26/261,532.78
  6. Step 6: Final answer
    x = 223,257.85

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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.