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Finding the Fourth Proportional to 269,020.50, 371,274.21 and 149,788.50

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Solution

The fourth proportional to 269,020.50, 371,274.21 and 149,788.50 is: 206,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,020.50 : 371,274.21 = 149,788.50 : x
  2. Step 2: Convert to fraction form
    269,020.50/371,274.21 = 149,788.50/x
  3. Step 3: Cross multiply
    269,020.50x = 371,274.21 × 149,788.50
  4. Step 4: Simplify right side
    269,020.50x = 55,612,607,004.59
  5. Step 5: Solve for x
    x = 55,612,607,004.59/269,020.50
  6. Step 6: Final answer
    x = 206,722.56

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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.