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Finding the Fourth Proportional to 260,908.62, 390,993.86 and 110,997.97

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Solution

The fourth proportional to 260,908.62, 390,993.86 and 110,997.97 is: 166,339.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,908.62 : 390,993.86 = 110,997.97 : x
  2. Step 2: Convert to fraction form
    260,908.62/390,993.86 = 110,997.97/x
  3. Step 3: Cross multiply
    260,908.62x = 390,993.86 × 110,997.97
  4. Step 4: Simplify right side
    260,908.62x = 43,399,522,787.49
  5. Step 5: Solve for x
    x = 43,399,522,787.49/260,908.62
  6. Step 6: Final answer
    x = 166,339.94

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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.