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Finding the Fourth Proportional to 646,967.56, 970,542.06 and 226,147.72

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Solution

The fourth proportional to 646,967.56, 970,542.06 and 226,147.72 is: 339,253.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,967.56 : 970,542.06 = 226,147.72 : x
  2. Step 2: Convert to fraction form
    646,967.56/970,542.06 = 226,147.72/x
  3. Step 3: Cross multiply
    646,967.56x = 970,542.06 × 226,147.72
  4. Step 4: Simplify right side
    646,967.56x = 219,485,874,033.10
  5. Step 5: Solve for x
    x = 219,485,874,033.10/646,967.56
  6. Step 6: Final answer
    x = 339,253.29

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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.