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Finding the Fourth Proportional to 422,209.92, 582,650.56 and 228,619.68

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Solution

The fourth proportional to 422,209.92, 582,650.56 and 228,619.68 is: 315,495.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,209.92 : 582,650.56 = 228,619.68 : x
  2. Step 2: Convert to fraction form
    422,209.92/582,650.56 = 228,619.68/x
  3. Step 3: Cross multiply
    422,209.92x = 582,650.56 × 228,619.68
  4. Step 4: Simplify right side
    422,209.92x = 133,205,384,579.02
  5. Step 5: Solve for x
    x = 133,205,384,579.02/422,209.92
  6. Step 6: Final answer
    x = 315,495.63

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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.