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Finding the Fourth Proportional to 422,031.68, 633,148.25 and 137,722.76

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Solution

The fourth proportional to 422,031.68, 633,148.25 and 137,722.76 is: 206,617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,031.68 : 633,148.25 = 137,722.76 : x
  2. Step 2: Convert to fraction form
    422,031.68/633,148.25 = 137,722.76/x
  3. Step 3: Cross multiply
    422,031.68x = 633,148.25 × 137,722.76
  4. Step 4: Simplify right side
    422,031.68x = 87,198,926,560.58
  5. Step 5: Solve for x
    x = 87,198,926,560.58/422,031.68
  6. Step 6: Final answer
    x = 206,617.01

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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.