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Finding the Fourth Proportional to 422,278.38, 582,744.49 and 228,686.39

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Solution

The fourth proportional to 422,278.38, 582,744.49 and 228,686.39 is: 315,587.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,278.38 : 582,744.49 = 228,686.39 : x
  2. Step 2: Convert to fraction form
    422,278.38/582,744.49 = 228,686.39/x
  3. Step 3: Cross multiply
    422,278.38x = 582,744.49 × 228,686.39
  4. Step 4: Simplify right side
    422,278.38x = 133,265,732,731.93
  5. Step 5: Solve for x
    x = 133,265,732,731.93/422,278.38
  6. Step 6: Final answer
    x = 315,587.40

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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.