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Finding the Fourth Proportional to 408,936.80, 613,405.20 and 209,190.80

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Solution

The fourth proportional to 408,936.80, 613,405.20 and 209,190.80 is: 313,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,936.80 : 613,405.20 = 209,190.80 : x
  2. Step 2: Convert to fraction form
    408,936.80/613,405.20 = 209,190.80/x
  3. Step 3: Cross multiply
    408,936.80x = 613,405.20 × 209,190.80
  4. Step 4: Simplify right side
    408,936.80x = 128,318,724,512.16
  5. Step 5: Solve for x
    x = 128,318,724,512.16/408,936.80
  6. Step 6: Final answer
    x = 313,786.20

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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.