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Finding the Fourth Proportional to 422,282.52, 633,475.98 and 138,001.68

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Solution

The fourth proportional to 422,282.52, 633,475.98 and 138,001.68 is: 207,019.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,282.52 : 633,475.98 = 138,001.68 : x
  2. Step 2: Convert to fraction form
    422,282.52/633,475.98 = 138,001.68/x
  3. Step 3: Cross multiply
    422,282.52x = 633,475.98 × 138,001.68
  4. Step 4: Simplify right side
    422,282.52x = 87,420,749,479.65
  5. Step 5: Solve for x
    x = 87,420,749,479.65/422,282.52
  6. Step 6: Final answer
    x = 207,019.58

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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.