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Finding the Fourth Proportional to 422,400.49, 582,909.18 and 228,803.78

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Solution

The fourth proportional to 422,400.49, 582,909.18 and 228,803.78 is: 315,747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,400.49 : 582,909.18 = 228,803.78 : x
  2. Step 2: Convert to fraction form
    422,400.49/582,909.18 = 228,803.78/x
  3. Step 3: Cross multiply
    422,400.49x = 582,909.18 × 228,803.78
  4. Step 4: Simplify right side
    422,400.49x = 133,371,823,780.70
  5. Step 5: Solve for x
    x = 133,371,823,780.70/422,400.49
  6. Step 6: Final answer
    x = 315,747.32

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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.