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Finding the Fourth Proportional to 378,963.78, 568,445.70 and 112,728.12

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Solution

The fourth proportional to 378,963.78, 568,445.70 and 112,728.12 is: 169,092.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,963.78 : 568,445.70 = 112,728.12 : x
  2. Step 2: Convert to fraction form
    378,963.78/568,445.70 = 112,728.12/x
  3. Step 3: Cross multiply
    378,963.78x = 568,445.70 × 112,728.12
  4. Step 4: Simplify right side
    378,963.78x = 64,079,815,083.08
  5. Step 5: Solve for x
    x = 64,079,815,083.08/378,963.78
  6. Step 6: Final answer
    x = 169,092.19

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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.