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Finding the Fourth Proportional to 422,292.60, 633,438.71 and 169,573

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Solution

The fourth proportional to 422,292.60, 633,438.71 and 169,573 is: 254,359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,292.60 : 633,438.71 = 169,573 : x
  2. Step 2: Convert to fraction form
    422,292.60/633,438.71 = 169,573/x
  3. Step 3: Cross multiply
    422,292.60x = 633,438.71 × 169,573
  4. Step 4: Simplify right side
    422,292.60x = 107,414,102,370.83
  5. Step 5: Solve for x
    x = 107,414,102,370.83/422,292.60
  6. Step 6: Final answer
    x = 254,359.42

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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.