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Finding the Fourth Proportional to 550,264.35, 825,396.53 and 311,115.90

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Solution

The fourth proportional to 550,264.35, 825,396.53 and 311,115.90 is: 466,673.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,264.35 : 825,396.53 = 311,115.90 : x
  2. Step 2: Convert to fraction form
    550,264.35/825,396.53 = 311,115.90/x
  3. Step 3: Cross multiply
    550,264.35x = 825,396.53 × 311,115.90
  4. Step 4: Simplify right side
    550,264.35x = 256,793,982,732.25
  5. Step 5: Solve for x
    x = 256,793,982,732.25/550,264.35
  6. Step 6: Final answer
    x = 466,673.85

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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.