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Finding the Fourth Proportional to 422,514.21, 633,765.33 and 102,668.43

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Solution

The fourth proportional to 422,514.21, 633,765.33 and 102,668.43 is: 154,001.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,514.21 : 633,765.33 = 102,668.43 : x
  2. Step 2: Convert to fraction form
    422,514.21/633,765.33 = 102,668.43/x
  3. Step 3: Cross multiply
    422,514.21x = 633,765.33 × 102,668.43
  4. Step 4: Simplify right side
    422,514.21x = 65,067,691,419.53
  5. Step 5: Solve for x
    x = 65,067,691,419.53/422,514.21
  6. Step 6: Final answer
    x = 154,001.19

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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.