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Finding the Fourth Proportional to 422,138.96, 582,551.95 and 228,546.66

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Solution

The fourth proportional to 422,138.96, 582,551.95 and 228,546.66 is: 315,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,138.96 : 582,551.95 = 228,546.66 : x
  2. Step 2: Convert to fraction form
    422,138.96/582,551.95 = 228,546.66/x
  3. Step 3: Cross multiply
    422,138.96x = 582,551.95 × 228,546.66
  4. Step 4: Simplify right side
    422,138.96x = 133,140,304,490.72
  5. Step 5: Solve for x
    x = 133,140,304,490.72/422,138.96
  6. Step 6: Final answer
    x = 315,394.50

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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.