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Finding the Fourth Proportional to 378,792.72, 568,076.04 and 312,067.44

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Solution

The fourth proportional to 378,792.72, 568,076.04 and 312,067.44 is: 468,008.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,792.72 : 568,076.04 = 312,067.44 : x
  2. Step 2: Convert to fraction form
    378,792.72/568,076.04 = 312,067.44/x
  3. Step 3: Cross multiply
    378,792.72x = 568,076.04 × 312,067.44
  4. Step 4: Simplify right side
    378,792.72x = 177,278,035,528.14
  5. Step 5: Solve for x
    x = 177,278,035,528.14/378,792.72
  6. Step 6: Final answer
    x = 468,008.03

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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.