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Finding the Fourth Proportional to 394,092.13, 588,978.86 and 287,700.13

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Solution

The fourth proportional to 394,092.13, 588,978.86 and 287,700.13 is: 429,973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,092.13 : 588,978.86 = 287,700.13 : x
  2. Step 2: Convert to fraction form
    394,092.13/588,978.86 = 287,700.13/x
  3. Step 3: Cross multiply
    394,092.13x = 588,978.86 × 287,700.13
  4. Step 4: Simplify right side
    394,092.13x = 169,449,293,836.06
  5. Step 5: Solve for x
    x = 169,449,293,836.06/394,092.13
  6. Step 6: Final answer
    x = 429,973.81

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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.