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Finding the Fourth Proportional to 646,878.78, 970,505.25 and 267,729.42

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Solution

The fourth proportional to 646,878.78, 970,505.25 and 267,729.42 is: 401,671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,878.78 : 970,505.25 = 267,729.42 : x
  2. Step 2: Convert to fraction form
    646,878.78/970,505.25 = 267,729.42/x
  3. Step 3: Cross multiply
    646,878.78x = 970,505.25 × 267,729.42
  4. Step 4: Simplify right side
    646,878.78x = 259,832,807,689.46
  5. Step 5: Solve for x
    x = 259,832,807,689.46/646,878.78
  6. Step 6: Final answer
    x = 401,671.56

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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.