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Finding the Fourth Proportional to 431,677.80, 647,147.50 and 165,629.25

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Solution

The fourth proportional to 431,677.80, 647,147.50 and 165,629.25 is: 248,302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,677.80 : 647,147.50 = 165,629.25 : x
  2. Step 2: Convert to fraction form
    431,677.80/647,147.50 = 165,629.25/x
  3. Step 3: Cross multiply
    431,677.80x = 647,147.50 × 165,629.25
  4. Step 4: Simplify right side
    431,677.80x = 107,186,554,650.30
  5. Step 5: Solve for x
    x = 107,186,554,650.30/431,677.80
  6. Step 6: Final answer
    x = 248,302.22

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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.