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Finding the Fourth Proportional to 269,816.40, 404,724.60 and 225,857.70

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Solution

The fourth proportional to 269,816.40, 404,724.60 and 225,857.70 is: 338,786.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,816.40 : 404,724.60 = 225,857.70 : x
  2. Step 2: Convert to fraction form
    269,816.40/404,724.60 = 225,857.70/x
  3. Step 3: Cross multiply
    269,816.40x = 404,724.60 × 225,857.70
  4. Step 4: Simplify right side
    269,816.40x = 91,410,167,289.42
  5. Step 5: Solve for x
    x = 91,410,167,289.42/269,816.40
  6. Step 6: Final answer
    x = 338,786.55

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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.