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Finding the Fourth Proportional to 422,113.46, 582,513.90 and 228,519.74

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Solution

The fourth proportional to 422,113.46, 582,513.90 and 228,519.74 is: 315,355.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,113.46 : 582,513.90 = 228,519.74 : x
  2. Step 2: Convert to fraction form
    422,113.46/582,513.90 = 228,519.74/x
  3. Step 3: Cross multiply
    422,113.46x = 582,513.90 × 228,519.74
  4. Step 4: Simplify right side
    422,113.46x = 133,115,924,974.39
  5. Step 5: Solve for x
    x = 133,115,924,974.39/422,113.46
  6. Step 6: Final answer
    x = 315,355.79

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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.