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Finding the Fourth Proportional to 422,171.44, 633,397.29 and 137,871.27

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Solution

The fourth proportional to 422,171.44, 633,397.29 and 137,871.27 is: 206,852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,171.44 : 633,397.29 = 137,871.27 : x
  2. Step 2: Convert to fraction form
    422,171.44/633,397.29 = 137,871.27/x
  3. Step 3: Cross multiply
    422,171.44x = 633,397.29 × 137,871.27
  4. Step 4: Simplify right side
    422,171.44x = 87,327,285,275.19
  5. Step 5: Solve for x
    x = 87,327,285,275.19/422,171.44
  6. Step 6: Final answer
    x = 206,852.66

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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.