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Finding the Fourth Proportional to 312,944.80, 468,540.24 and 162,857.92

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Solution

The fourth proportional to 312,944.80, 468,540.24 and 162,857.92 is: 243,830.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,944.80 : 468,540.24 = 162,857.92 : x
  2. Step 2: Convert to fraction form
    312,944.80/468,540.24 = 162,857.92/x
  3. Step 3: Cross multiply
    312,944.80x = 468,540.24 × 162,857.92
  4. Step 4: Simplify right side
    312,944.80x = 76,305,488,922.70
  5. Step 5: Solve for x
    x = 76,305,488,922.70/312,944.80
  6. Step 6: Final answer
    x = 243,830.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.