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Finding the Fourth Proportional to 431,629.80, 647,250.30 and 165,301.80

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Solution

The fourth proportional to 431,629.80, 647,250.30 and 165,301.80 is: 247,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,629.80 : 647,250.30 = 165,301.80 : x
  2. Step 2: Convert to fraction form
    431,629.80/647,250.30 = 165,301.80/x
  3. Step 3: Cross multiply
    431,629.80x = 647,250.30 × 165,301.80
  4. Step 4: Simplify right side
    431,629.80x = 106,991,639,640.54
  5. Step 5: Solve for x
    x = 106,991,639,640.54/431,629.80
  6. Step 6: Final answer
    x = 247,878.25

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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.