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Finding the Fourth Proportional to 396,990.24, 547,871.04 and 227,220.48

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Solution

The fourth proportional to 396,990.24, 547,871.04 and 227,220.48 is: 313,578.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,990.24 : 547,871.04 = 227,220.48 : x
  2. Step 2: Convert to fraction form
    396,990.24/547,871.04 = 227,220.48/x
  3. Step 3: Cross multiply
    396,990.24x = 547,871.04 × 227,220.48
  4. Step 4: Simplify right side
    396,990.24x = 124,487,520,686.90
  5. Step 5: Solve for x
    x = 124,487,520,686.90/396,990.24
  6. Step 6: Final answer
    x = 313,578.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.