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Finding the Fourth Proportional to 269,244.60, 402,992.10 and 209,758.20

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Solution

The fourth proportional to 269,244.60, 402,992.10 and 209,758.20 is: 313,955.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,244.60 : 402,992.10 = 209,758.20 : x
  2. Step 2: Convert to fraction form
    269,244.60/402,992.10 = 209,758.20/x
  3. Step 3: Cross multiply
    269,244.60x = 402,992.10 × 209,758.20
  4. Step 4: Simplify right side
    269,244.60x = 84,530,897,510.22
  5. Step 5: Solve for x
    x = 84,530,897,510.22/269,244.60
  6. Step 6: Final answer
    x = 313,955.78

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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.