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Finding the Fourth Proportional to 422,203.52, 633,357.48 and 137,922.68

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Solution

The fourth proportional to 422,203.52, 633,357.48 and 137,922.68 is: 206,901.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,203.52 : 633,357.48 = 137,922.68 : x
  2. Step 2: Convert to fraction form
    422,203.52/633,357.48 = 137,922.68/x
  3. Step 3: Cross multiply
    422,203.52x = 633,357.48 × 137,922.68
  4. Step 4: Simplify right side
    422,203.52x = 87,354,361,039.65
  5. Step 5: Solve for x
    x = 87,354,361,039.65/422,203.52
  6. Step 6: Final answer
    x = 206,901.07

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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.