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Finding the Fourth Proportional to 542,840.80, 813,872.40 and 227,135.20

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Solution

The fourth proportional to 542,840.80, 813,872.40 and 227,135.20 is: 340,540.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,840.80 : 813,872.40 = 227,135.20 : x
  2. Step 2: Convert to fraction form
    542,840.80/813,872.40 = 227,135.20/x
  3. Step 3: Cross multiply
    542,840.80x = 813,872.40 × 227,135.20
  4. Step 4: Simplify right side
    542,840.80x = 184,859,070,348.48
  5. Step 5: Solve for x
    x = 184,859,070,348.48/542,840.80
  6. Step 6: Final answer
    x = 340,540.12

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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.