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Finding the Fourth Proportional to 269,075, 371,249.60 and 187,311.62

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Solution

The fourth proportional to 269,075, 371,249.60 and 187,311.62 is: 258,438.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,075 : 371,249.60 = 187,311.62 : x
  2. Step 2: Convert to fraction form
    269,075/371,249.60 = 187,311.62/x
  3. Step 3: Cross multiply
    269,075x = 371,249.60 × 187,311.62
  4. Step 4: Simplify right side
    269,075x = 69,539,364,000.35
  5. Step 5: Solve for x
    x = 69,539,364,000.35/269,075
  6. Step 6: Final answer
    x = 258,438.59

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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.