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Finding the Fourth Proportional to 269,408.40, 404,890.20 and 264,742.80

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Solution

The fourth proportional to 269,408.40, 404,890.20 and 264,742.80 is: 397,878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,408.40 : 404,890.20 = 264,742.80 : x
  2. Step 2: Convert to fraction form
    269,408.40/404,890.20 = 264,742.80/x
  3. Step 3: Cross multiply
    269,408.40x = 404,890.20 × 264,742.80
  4. Step 4: Simplify right side
    269,408.40x = 107,191,765,240.56
  5. Step 5: Solve for x
    x = 107,191,765,240.56/269,408.40
  6. Step 6: Final answer
    x = 397,878.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.