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Finding the Fourth Proportional to 422,103.68, 633,150.24 and 169,496

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Solution

The fourth proportional to 422,103.68, 633,150.24 and 169,496 is: 254,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,103.68 : 633,150.24 = 169,496 : x
  2. Step 2: Convert to fraction form
    422,103.68/633,150.24 = 169,496/x
  3. Step 3: Cross multiply
    422,103.68x = 633,150.24 × 169,496
  4. Step 4: Simplify right side
    422,103.68x = 107,316,433,079.04
  5. Step 5: Solve for x
    x = 107,316,433,079.04/422,103.68
  6. Step 6: Final answer
    x = 254,241.88

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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.