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Finding the Fourth Proportional to 812,396.16, 1,218,843.36 and 363,494.88

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Solution

The fourth proportional to 812,396.16, 1,218,843.36 and 363,494.88 is: 545,353.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,396.16 : 1,218,843.36 = 363,494.88 : x
  2. Step 2: Convert to fraction form
    812,396.16/1,218,843.36 = 363,494.88/x
  3. Step 3: Cross multiply
    812,396.16x = 1,218,843.36 × 363,494.88
  4. Step 4: Simplify right side
    812,396.16x = 443,043,320,882.00
  5. Step 5: Solve for x
    x = 443,043,320,882.00/812,396.16
  6. Step 6: Final answer
    x = 545,353.79

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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.