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Finding the Fourth Proportional to 647,628.82, 971,443.23 and 174,301.88

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Solution

The fourth proportional to 647,628.82, 971,443.23 and 174,301.88 is: 261,452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,628.82 : 971,443.23 = 174,301.88 : x
  2. Step 2: Convert to fraction form
    647,628.82/971,443.23 = 174,301.88/x
  3. Step 3: Cross multiply
    647,628.82x = 971,443.23 × 174,301.88
  4. Step 4: Simplify right side
    647,628.82x = 169,324,375,791.42
  5. Step 5: Solve for x
    x = 169,324,375,791.42/647,628.82
  6. Step 6: Final answer
    x = 261,452.81

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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.