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Finding the Fourth Proportional to 275,489.20, 413,233.80 and 163,514.80

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Solution

The fourth proportional to 275,489.20, 413,233.80 and 163,514.80 is: 245,272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,489.20 : 413,233.80 = 163,514.80 : x
  2. Step 2: Convert to fraction form
    275,489.20/413,233.80 = 163,514.80/x
  3. Step 3: Cross multiply
    275,489.20x = 413,233.80 × 163,514.80
  4. Step 4: Simplify right side
    275,489.20x = 67,569,842,160.24
  5. Step 5: Solve for x
    x = 67,569,842,160.24/275,489.20
  6. Step 6: Final answer
    x = 245,272.20

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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.