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Finding the Fourth Proportional to 269,195, 371,496.78 and 149,970.68

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Solution

The fourth proportional to 269,195, 371,496.78 and 149,970.68 is: 206,963.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,195 : 371,496.78 = 149,970.68 : x
  2. Step 2: Convert to fraction form
    269,195/371,496.78 = 149,970.68/x
  3. Step 3: Cross multiply
    269,195x = 371,496.78 × 149,970.68
  4. Step 4: Simplify right side
    269,195x = 55,713,624,714.41
  5. Step 5: Solve for x
    x = 55,713,624,714.41/269,195
  6. Step 6: Final answer
    x = 206,963.82

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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.