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Finding the Fourth Proportional to 378,101.10, 521,759.84 and 234,858.27

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Solution

The fourth proportional to 378,101.10, 521,759.84 and 234,858.27 is: 324,092.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,101.10 : 521,759.84 = 234,858.27 : x
  2. Step 2: Convert to fraction form
    378,101.10/521,759.84 = 234,858.27/x
  3. Step 3: Cross multiply
    378,101.10x = 521,759.84 × 234,858.27
  4. Step 4: Simplify right side
    378,101.10x = 122,539,612,203.59
  5. Step 5: Solve for x
    x = 122,539,612,203.59/378,101.10
  6. Step 6: Final answer
    x = 324,092.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.