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Finding the Fourth Proportional to 269,443.20, 404,164.80 and 209,956.80

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Solution

The fourth proportional to 269,443.20, 404,164.80 and 209,956.80 is: 314,935.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,443.20 : 404,164.80 = 209,956.80 : x
  2. Step 2: Convert to fraction form
    269,443.20/404,164.80 = 209,956.80/x
  3. Step 3: Cross multiply
    269,443.20x = 404,164.80 × 209,956.80
  4. Step 4: Simplify right side
    269,443.20x = 84,857,148,080.64
  5. Step 5: Solve for x
    x = 84,857,148,080.64/269,443.20
  6. Step 6: Final answer
    x = 314,935.20

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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.