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Finding the Fourth Proportional to 542,987.20, 814,675.20 and 227,540.80

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Solution

The fourth proportional to 542,987.20, 814,675.20 and 227,540.80 is: 341,392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,987.20 : 814,675.20 = 227,540.80 : x
  2. Step 2: Convert to fraction form
    542,987.20/814,675.20 = 227,540.80/x
  3. Step 3: Cross multiply
    542,987.20x = 814,675.20 × 227,540.80
  4. Step 4: Simplify right side
    542,987.20x = 185,371,846,748.16
  5. Step 5: Solve for x
    x = 185,371,846,748.16/542,987.20
  6. Step 6: Final answer
    x = 341,392.66

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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.