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Finding the Fourth Proportional to 548,468.40, 821,819.40 and 311,105.20

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Solution

The fourth proportional to 548,468.40, 821,819.40 and 311,105.20 is: 466,156.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,468.40 : 821,819.40 = 311,105.20 : x
  2. Step 2: Convert to fraction form
    548,468.40/821,819.40 = 311,105.20/x
  3. Step 3: Cross multiply
    548,468.40x = 821,819.40 × 311,105.20
  4. Step 4: Simplify right side
    548,468.40x = 255,672,288,800.88
  5. Step 5: Solve for x
    x = 255,672,288,800.88/548,468.40
  6. Step 6: Final answer
    x = 466,156.83

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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.