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Finding the Fourth Proportional to 422,031.93, 633,148.60 and 137,723

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Solution

The fourth proportional to 422,031.93, 633,148.60 and 137,723 is: 206,617.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,031.93 : 633,148.60 = 137,723 : x
  2. Step 2: Convert to fraction form
    422,031.93/633,148.60 = 137,723/x
  3. Step 3: Cross multiply
    422,031.93x = 633,148.60 × 137,723
  4. Step 4: Simplify right side
    422,031.93x = 87,199,124,637.80
  5. Step 5: Solve for x
    x = 87,199,124,637.80/422,031.93
  6. Step 6: Final answer
    x = 206,617.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.