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Finding the Fourth Proportional to 422,406.86, 633,609.75 and 169,687.34

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Solution

The fourth proportional to 422,406.86, 633,609.75 and 169,687.34 is: 254,530.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,406.86 : 633,609.75 = 169,687.34 : x
  2. Step 2: Convert to fraction form
    422,406.86/633,609.75 = 169,687.34/x
  3. Step 3: Cross multiply
    422,406.86x = 633,609.75 × 169,687.34
  4. Step 4: Simplify right side
    422,406.86x = 107,515,549,907.52
  5. Step 5: Solve for x
    x = 107,515,549,907.52/422,406.86
  6. Step 6: Final answer
    x = 254,530.79

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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.