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Finding the Fourth Proportional to 548,306.20, 821,803.20 and 281,929.60

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Solution

The fourth proportional to 548,306.20, 821,803.20 and 281,929.60 is: 422,557.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,306.20 : 821,803.20 = 281,929.60 : x
  2. Step 2: Convert to fraction form
    548,306.20/821,803.20 = 281,929.60/x
  3. Step 3: Cross multiply
    548,306.20x = 821,803.20 × 281,929.60
  4. Step 4: Simplify right side
    548,306.20x = 231,690,647,454.72
  5. Step 5: Solve for x
    x = 231,690,647,454.72/548,306.20
  6. Step 6: Final answer
    x = 422,557.04

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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.