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Finding the Fourth Proportional to 431,361.52, 646,873.76 and 165,033.52

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Solution

The fourth proportional to 431,361.52, 646,873.76 and 165,033.52 is: 247,485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,361.52 : 646,873.76 = 165,033.52 : x
  2. Step 2: Convert to fraction form
    431,361.52/646,873.76 = 165,033.52/x
  3. Step 3: Cross multiply
    431,361.52x = 646,873.76 × 165,033.52
  4. Step 4: Simplify right side
    431,361.52x = 106,755,853,608.44
  5. Step 5: Solve for x
    x = 106,755,853,608.44/431,361.52
  6. Step 6: Final answer
    x = 247,485.81

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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.