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Finding the Fourth Proportional to 312,805.92, 468,858.94 and 135,046.56

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Solution

The fourth proportional to 312,805.92, 468,858.94 and 135,046.56 is: 202,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,805.92 : 468,858.94 = 135,046.56 : x
  2. Step 2: Convert to fraction form
    312,805.92/468,858.94 = 135,046.56/x
  3. Step 3: Cross multiply
    312,805.92x = 468,858.94 × 135,046.56
  4. Step 4: Simplify right side
    312,805.92x = 63,317,786,972.25
  5. Step 5: Solve for x
    x = 63,317,786,972.25/312,805.92
  6. Step 6: Final answer
    x = 202,418.76

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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.