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Finding the Fourth Proportional to 431,679.36, 647,149.78 and 165,630.81

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Solution

The fourth proportional to 431,679.36, 647,149.78 and 165,630.81 is: 248,304.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,679.36 : 647,149.78 = 165,630.81 : x
  2. Step 2: Convert to fraction form
    431,679.36/647,149.78 = 165,630.81/x
  3. Step 3: Cross multiply
    431,679.36x = 647,149.78 × 165,630.81
  4. Step 4: Simplify right side
    431,679.36x = 107,187,942,252.72
  5. Step 5: Solve for x
    x = 107,187,942,252.72/431,679.36
  6. Step 6: Final answer
    x = 248,304.53

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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.