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Finding the Fourth Proportional to 269,451.20, 404,176.80 and 209,964.80

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Solution

The fourth proportional to 269,451.20, 404,176.80 and 209,964.80 is: 314,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,451.20 : 404,176.80 = 209,964.80 : x
  2. Step 2: Convert to fraction form
    269,451.20/404,176.80 = 209,964.80/x
  3. Step 3: Cross multiply
    269,451.20x = 404,176.80 × 209,964.80
  4. Step 4: Simplify right side
    269,451.20x = 84,862,900,976.64
  5. Step 5: Solve for x
    x = 84,862,900,976.64/269,451.20
  6. Step 6: Final answer
    x = 314,947.20

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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.