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Finding the Fourth Proportional to 275,456.04, 413,202.78 and 88,456.20

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Solution

The fourth proportional to 275,456.04, 413,202.78 and 88,456.20 is: 132,690.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,456.04 : 413,202.78 = 88,456.20 : x
  2. Step 2: Convert to fraction form
    275,456.04/413,202.78 = 88,456.20/x
  3. Step 3: Cross multiply
    275,456.04x = 413,202.78 × 88,456.20
  4. Step 4: Simplify right side
    275,456.04x = 36,550,347,748.24
  5. Step 5: Solve for x
    x = 36,550,347,748.24/275,456.04
  6. Step 6: Final answer
    x = 132,690.31

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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.