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Finding the Fourth Proportional to 278,046.09, 419,027.81 and 251,422.38

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Solution

The fourth proportional to 278,046.09, 419,027.81 and 251,422.38 is: 378,904.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,046.09 : 419,027.81 = 251,422.38 : x
  2. Step 2: Convert to fraction form
    278,046.09/419,027.81 = 251,422.38/x
  3. Step 3: Cross multiply
    278,046.09x = 419,027.81 × 251,422.38
  4. Step 4: Simplify right side
    278,046.09x = 105,352,968,019.28
  5. Step 5: Solve for x
    x = 105,352,968,019.28/278,046.09
  6. Step 6: Final answer
    x = 378,904.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.