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Finding the Fourth Proportional to 422,030.93, 633,147.10 and 137,722

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Solution

The fourth proportional to 422,030.93, 633,147.10 and 137,722 is: 206,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,030.93 : 633,147.10 = 137,722 : x
  2. Step 2: Convert to fraction form
    422,030.93/633,147.10 = 137,722/x
  3. Step 3: Cross multiply
    422,030.93x = 633,147.10 × 137,722
  4. Step 4: Simplify right side
    422,030.93x = 87,198,284,217.59
  5. Step 5: Solve for x
    x = 87,198,284,217.59/422,030.93
  6. Step 6: Final answer
    x = 206,615.86

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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.