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Finding the Fourth Proportional to 422,382.60, 582,884.96 and 228,785.94

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Solution

The fourth proportional to 422,382.60, 582,884.96 and 228,785.94 is: 315,722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,382.60 : 582,884.96 = 228,785.94 : x
  2. Step 2: Convert to fraction form
    422,382.60/582,884.96 = 228,785.94/x
  3. Step 3: Cross multiply
    422,382.60x = 582,884.96 × 228,785.94
  4. Step 4: Simplify right side
    422,382.60x = 133,355,882,341.53
  5. Step 5: Solve for x
    x = 133,355,882,341.53/422,382.60
  6. Step 6: Final answer
    x = 315,722.95

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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.