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Finding the Fourth Proportional to 312,408.78, 468,614.67 and 75,751.44

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Solution

The fourth proportional to 312,408.78, 468,614.67 and 75,751.44 is: 113,627.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,408.78 : 468,614.67 = 75,751.44 : x
  2. Step 2: Convert to fraction form
    312,408.78/468,614.67 = 75,751.44/x
  3. Step 3: Cross multiply
    312,408.78x = 468,614.67 × 75,751.44
  4. Step 4: Simplify right side
    312,408.78x = 35,498,236,057.62
  5. Step 5: Solve for x
    x = 35,498,236,057.62/312,408.78
  6. Step 6: Final answer
    x = 113,627.52

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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.