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Finding the Fourth Proportional to 270,854.87, 405,375.80 and 267,270.44

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Solution

The fourth proportional to 270,854.87, 405,375.80 and 267,270.44 is: 400,011.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,854.87 : 405,375.80 = 267,270.44 : x
  2. Step 2: Convert to fraction form
    270,854.87/405,375.80 = 267,270.44/x
  3. Step 3: Cross multiply
    270,854.87x = 405,375.80 × 267,270.44
  4. Step 4: Simplify right side
    270,854.87x = 108,344,965,068.12
  5. Step 5: Solve for x
    x = 108,344,965,068.12/270,854.87
  6. Step 6: Final answer
    x = 400,011.15

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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.