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Finding the Fourth Proportional to 394,091.88, 588,978.49 and 287,699.88

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Solution

The fourth proportional to 394,091.88, 588,978.49 and 287,699.88 is: 429,973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,091.88 : 588,978.49 = 287,699.88 : x
  2. Step 2: Convert to fraction form
    394,091.88/588,978.49 = 287,699.88/x
  3. Step 3: Cross multiply
    394,091.88x = 588,978.49 × 287,699.88
  4. Step 4: Simplify right side
    394,091.88x = 169,449,040,895.58
  5. Step 5: Solve for x
    x = 169,449,040,895.58/394,091.88
  6. Step 6: Final answer
    x = 429,973.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.