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Finding the Fourth Proportional to 276,112.80, 414,169.20 and 209,190.60

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Solution

The fourth proportional to 276,112.80, 414,169.20 and 209,190.60 is: 313,785.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,112.80 : 414,169.20 = 209,190.60 : x
  2. Step 2: Convert to fraction form
    276,112.80/414,169.20 = 209,190.60/x
  3. Step 3: Cross multiply
    276,112.80x = 414,169.20 × 209,190.60
  4. Step 4: Simplify right side
    276,112.80x = 86,640,303,449.52
  5. Step 5: Solve for x
    x = 86,640,303,449.52/276,112.80
  6. Step 6: Final answer
    x = 313,785.90

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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.