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Finding the Fourth Proportional to 269,017, 371,269.38 and 149,785

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Solution

The fourth proportional to 269,017, 371,269.38 and 149,785 is: 206,717.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,017 : 371,269.38 = 149,785 : x
  2. Step 2: Convert to fraction form
    269,017/371,269.38 = 149,785/x
  3. Step 3: Cross multiply
    269,017x = 371,269.38 × 149,785
  4. Step 4: Simplify right side
    269,017x = 55,610,584,083.30
  5. Step 5: Solve for x
    x = 55,610,584,083.30/269,017
  6. Step 6: Final answer
    x = 206,717.73

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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.