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Finding the Fourth Proportional to 378,858.14, 568,393.83 and 165,644.78

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Solution

The fourth proportional to 378,858.14, 568,393.83 and 165,644.78 is: 248,513.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,858.14 : 568,393.83 = 165,644.78 : x
  2. Step 2: Convert to fraction form
    378,858.14/568,393.83 = 165,644.78/x
  3. Step 3: Cross multiply
    378,858.14x = 568,393.83 × 165,644.78
  4. Step 4: Simplify right side
    378,858.14x = 94,151,469,088.61
  5. Step 5: Solve for x
    x = 94,151,469,088.61/378,858.14
  6. Step 6: Final answer
    x = 248,513.78

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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.