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Finding the Fourth Proportional to 422,021.25, 633,150.43 and 169,479.09

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Solution

The fourth proportional to 422,021.25, 633,150.43 and 169,479.09 is: 254,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,021.25 : 633,150.43 = 169,479.09 : x
  2. Step 2: Convert to fraction form
    422,021.25/633,150.43 = 169,479.09/x
  3. Step 3: Cross multiply
    422,021.25x = 633,150.43 × 169,479.09
  4. Step 4: Simplify right side
    422,021.25x = 107,305,756,310.60
  5. Step 5: Solve for x
    x = 107,305,756,310.60/422,021.25
  6. Step 6: Final answer
    x = 254,266.24

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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.