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Finding the Fourth Proportional to 378,893.44, 568,038.42 and 218,787.64

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Solution

The fourth proportional to 378,893.44, 568,038.42 and 218,787.64 is: 328,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,893.44 : 568,038.42 = 218,787.64 : x
  2. Step 2: Convert to fraction form
    378,893.44/568,038.42 = 218,787.64/x
  3. Step 3: Cross multiply
    378,893.44x = 568,038.42 × 218,787.64
  4. Step 4: Simplify right side
    378,893.44x = 124,279,785,341.13
  5. Step 5: Solve for x
    x = 124,279,785,341.13/378,893.44
  6. Step 6: Final answer
    x = 328,007.22

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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.