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Finding the Fourth Proportional to 641,138.48, 961,795.20 and 267,074

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Solution

The fourth proportional to 641,138.48, 961,795.20 and 267,074 is: 400,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,138.48 : 961,795.20 = 267,074 : x
  2. Step 2: Convert to fraction form
    641,138.48/961,795.20 = 267,074/x
  3. Step 3: Cross multiply
    641,138.48x = 961,795.20 × 267,074
  4. Step 4: Simplify right side
    641,138.48x = 256,870,491,244.80
  5. Step 5: Solve for x
    x = 256,870,491,244.80/641,138.48
  6. Step 6: Final answer
    x = 400,647.44

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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.