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Finding the Fourth Proportional to 275,280.37, 412,919.78 and 75,600.95

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Solution

The fourth proportional to 275,280.37, 412,919.78 and 75,600.95 is: 113,401.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,280.37 : 412,919.78 = 75,600.95 : x
  2. Step 2: Convert to fraction form
    275,280.37/412,919.78 = 75,600.95/x
  3. Step 3: Cross multiply
    275,280.37x = 412,919.78 × 75,600.95
  4. Step 4: Simplify right side
    275,280.37x = 31,217,125,199.19
  5. Step 5: Solve for x
    x = 31,217,125,199.19/275,280.37
  6. Step 6: Final answer
    x = 113,401.20

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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.