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Finding the Fourth Proportional to 279,831.20, 419,745.08 and 80,151.95

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Solution

The fourth proportional to 279,831.20, 419,745.08 and 80,151.95 is: 120,227.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,831.20 : 419,745.08 = 80,151.95 : x
  2. Step 2: Convert to fraction form
    279,831.20/419,745.08 = 80,151.95/x
  3. Step 3: Cross multiply
    279,831.20x = 419,745.08 × 80,151.95
  4. Step 4: Simplify right side
    279,831.20x = 33,643,387,914.65
  5. Step 5: Solve for x
    x = 33,643,387,914.65/279,831.20
  6. Step 6: Final answer
    x = 120,227.44

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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.