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Finding the Fourth Proportional to 269,305.71, 371,641.78 and 148,449

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Solution

The fourth proportional to 269,305.71, 371,641.78 and 148,449 is: 204,859.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,305.71 : 371,641.78 = 148,449 : x
  2. Step 2: Convert to fraction form
    269,305.71/371,641.78 = 148,449/x
  3. Step 3: Cross multiply
    269,305.71x = 371,641.78 × 148,449
  4. Step 4: Simplify right side
    269,305.71x = 55,169,850,599.22
  5. Step 5: Solve for x
    x = 55,169,850,599.22/269,305.71
  6. Step 6: Final answer
    x = 204,859.56

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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.