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Finding the Fourth Proportional to 646,879.78, 970,506.75 and 267,730.42

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Solution

The fourth proportional to 646,879.78, 970,506.75 and 267,730.42 is: 401,673.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,879.78 : 970,506.75 = 267,730.42 : x
  2. Step 2: Convert to fraction form
    646,879.78/970,506.75 = 267,730.42/x
  3. Step 3: Cross multiply
    646,879.78x = 970,506.75 × 267,730.42
  4. Step 4: Simplify right side
    646,879.78x = 259,834,179,790.34
  5. Step 5: Solve for x
    x = 259,834,179,790.34/646,879.78
  6. Step 6: Final answer
    x = 401,673.06

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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.