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Finding the Fourth Proportional to 431,679.80, 647,150.49 and 165,631.25

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Solution

The fourth proportional to 431,679.80, 647,150.49 and 165,631.25 is: 248,305.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,679.80 : 647,150.49 = 165,631.25 : x
  2. Step 2: Convert to fraction form
    431,679.80/647,150.49 = 165,631.25/x
  3. Step 3: Cross multiply
    431,679.80x = 647,150.49 × 165,631.25
  4. Step 4: Simplify right side
    431,679.80x = 107,188,344,596.81
  5. Step 5: Solve for x
    x = 107,188,344,596.81/431,679.80
  6. Step 6: Final answer
    x = 248,305.21

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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.