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Finding the Fourth Proportional to 547,540.80, 821,464.80 and 267,067.20

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Solution

The fourth proportional to 547,540.80, 821,464.80 and 267,067.20 is: 400,675.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,540.80 : 821,464.80 = 267,067.20 : x
  2. Step 2: Convert to fraction form
    547,540.80/821,464.80 = 267,067.20/x
  3. Step 3: Cross multiply
    547,540.80x = 821,464.80 × 267,067.20
  4. Step 4: Simplify right side
    547,540.80x = 219,386,304,034.56
  5. Step 5: Solve for x
    x = 219,386,304,034.56/547,540.80
  6. Step 6: Final answer
    x = 400,675.72

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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.