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Finding the Fourth Proportional to 269,115, 371,378.70 and 149,883

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Solution

The fourth proportional to 269,115, 371,378.70 and 149,883 is: 206,838.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,115 : 371,378.70 = 149,883 : x
  2. Step 2: Convert to fraction form
    269,115/371,378.70 = 149,883/x
  3. Step 3: Cross multiply
    269,115x = 371,378.70 × 149,883
  4. Step 4: Simplify right side
    269,115x = 55,663,353,692.10
  5. Step 5: Solve for x
    x = 55,663,353,692.10/269,115
  6. Step 6: Final answer
    x = 206,838.54

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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.