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Finding the Fourth Proportional to 422,387.43, 633,756.09 and 169,846.80

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Solution

The fourth proportional to 422,387.43, 633,756.09 and 169,846.80 is: 254,840.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,387.43 : 633,756.09 = 169,846.80 : x
  2. Step 2: Convert to fraction form
    422,387.43/633,756.09 = 169,846.80/x
  3. Step 3: Cross multiply
    422,387.43x = 633,756.09 × 169,846.80
  4. Step 4: Simplify right side
    422,387.43x = 107,641,443,867.01
  5. Step 5: Solve for x
    x = 107,641,443,867.01/422,387.43
  6. Step 6: Final answer
    x = 254,840.55

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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.