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Finding the Fourth Proportional to 275,939.60, 413,909.40 and 231,324.80

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Solution

The fourth proportional to 275,939.60, 413,909.40 and 231,324.80 is: 346,987.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,939.60 : 413,909.40 = 231,324.80 : x
  2. Step 2: Convert to fraction form
    275,939.60/413,909.40 = 231,324.80/x
  3. Step 3: Cross multiply
    275,939.60x = 413,909.40 × 231,324.80
  4. Step 4: Simplify right side
    275,939.60x = 95,747,509,173.12
  5. Step 5: Solve for x
    x = 95,747,509,173.12/275,939.60
  6. Step 6: Final answer
    x = 346,987.20

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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.