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Finding the Fourth Proportional to 422,398.49, 582,906.42 and 228,801.78

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Solution

The fourth proportional to 422,398.49, 582,906.42 and 228,801.78 is: 315,744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,398.49 : 582,906.42 = 228,801.78 : x
  2. Step 2: Convert to fraction form
    422,398.49/582,906.42 = 228,801.78/x
  3. Step 3: Cross multiply
    422,398.49x = 582,906.42 × 228,801.78
  4. Step 4: Simplify right side
    422,398.49x = 133,370,026,469.43
  5. Step 5: Solve for x
    x = 133,370,026,469.43/422,398.49
  6. Step 6: Final answer
    x = 315,744.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.