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Finding the Fourth Proportional to 809,347.88, 1,213,902.78 and 323,027.24

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Solution

The fourth proportional to 809,347.88, 1,213,902.78 and 323,027.24 is: 484,493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,347.88 : 1,213,902.78 = 323,027.24 : x
  2. Step 2: Convert to fraction form
    809,347.88/1,213,902.78 = 323,027.24/x
  3. Step 3: Cross multiply
    809,347.88x = 1,213,902.78 × 323,027.24
  4. Step 4: Simplify right side
    809,347.88x = 392,123,664,651.73
  5. Step 5: Solve for x
    x = 392,123,664,651.73/809,347.88
  6. Step 6: Final answer
    x = 484,493.35

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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.