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Finding the Fourth Proportional to 312,380.48, 468,601.92 and 87,741.44

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Solution

The fourth proportional to 312,380.48, 468,601.92 and 87,741.44 is: 131,620.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,380.48 : 468,601.92 = 87,741.44 : x
  2. Step 2: Convert to fraction form
    312,380.48/468,601.92 = 87,741.44/x
  3. Step 3: Cross multiply
    312,380.48x = 468,601.92 × 87,741.44
  4. Step 4: Simplify right side
    312,380.48x = 41,115,807,247.56
  5. Step 5: Solve for x
    x = 41,115,807,247.56/312,380.48
  6. Step 6: Final answer
    x = 131,620.92

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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.