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Finding the Fourth Proportional to 765,984, 1,149,500.97 and 267,348

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Solution

The fourth proportional to 765,984, 1,149,500.97 and 267,348 is: 401,205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,984 : 1,149,500.97 = 267,348 : x
  2. Step 2: Convert to fraction form
    765,984/1,149,500.97 = 267,348/x
  3. Step 3: Cross multiply
    765,984x = 1,149,500.97 × 267,348
  4. Step 4: Simplify right side
    765,984x = 307,316,785,327.56
  5. Step 5: Solve for x
    x = 307,316,785,327.56/765,984
  6. Step 6: Final answer
    x = 401,205.23

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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.