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Finding the Fourth Proportional to 422,206.88, 582,646.38 and 228,616.70

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Solution

The fourth proportional to 422,206.88, 582,646.38 and 228,616.70 is: 315,491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,206.88 : 582,646.38 = 228,616.70 : x
  2. Step 2: Convert to fraction form
    422,206.88/582,646.38 = 228,616.70/x
  3. Step 3: Cross multiply
    422,206.88x = 582,646.38 × 228,616.70
  4. Step 4: Simplify right side
    422,206.88x = 133,202,692,662.55
  5. Step 5: Solve for x
    x = 133,202,692,662.55/422,206.88
  6. Step 6: Final answer
    x = 315,491.53

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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.