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Finding the Fourth Proportional to 269,016, 371,268 and 149,784

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Solution

The fourth proportional to 269,016, 371,268 and 149,784 is: 206,716.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,016 : 371,268 = 149,784 : x
  2. Step 2: Convert to fraction form
    269,016/371,268 = 149,784/x
  3. Step 3: Cross multiply
    269,016x = 371,268 × 149,784
  4. Step 4: Simplify right side
    269,016x = 55,610,006,112
  5. Step 5: Solve for x
    x = 55,610,006,112/269,016
  6. Step 6: Final answer
    x = 206,716.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.