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Finding the Fourth Proportional to 269,634.30, 404,710.65 and 136,664.70

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Solution

The fourth proportional to 269,634.30, 404,710.65 and 136,664.70 is: 205,128.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,634.30 : 404,710.65 = 136,664.70 : x
  2. Step 2: Convert to fraction form
    269,634.30/404,710.65 = 136,664.70/x
  3. Step 3: Cross multiply
    269,634.30x = 404,710.65 × 136,664.70
  4. Step 4: Simplify right side
    269,634.30x = 55,309,659,569.06
  5. Step 5: Solve for x
    x = 55,309,659,569.06/269,634.30
  6. Step 6: Final answer
    x = 205,128.43

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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.