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Finding the Fourth Proportional to 269,903.80, 404,855.70 and 82,915.30

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Solution

The fourth proportional to 269,903.80, 404,855.70 and 82,915.30 is: 124,372.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,903.80 : 404,855.70 = 82,915.30 : x
  2. Step 2: Convert to fraction form
    269,903.80/404,855.70 = 82,915.30/x
  3. Step 3: Cross multiply
    269,903.80x = 404,855.70 × 82,915.30
  4. Step 4: Simplify right side
    269,903.80x = 33,568,731,822.21
  5. Step 5: Solve for x
    x = 33,568,731,822.21/269,903.80
  6. Step 6: Final answer
    x = 124,372.95

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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.