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Finding the Fourth Proportional to 271,928.32, 407,850.34 and 138,906.88

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Solution

The fourth proportional to 271,928.32, 407,850.34 and 138,906.88 is: 208,338.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,928.32 : 407,850.34 = 138,906.88 : x
  2. Step 2: Convert to fraction form
    271,928.32/407,850.34 = 138,906.88/x
  3. Step 3: Cross multiply
    271,928.32x = 407,850.34 × 138,906.88
  4. Step 4: Simplify right side
    271,928.32x = 56,653,218,236.34
  5. Step 5: Solve for x
    x = 56,653,218,236.34/271,928.32
  6. Step 6: Final answer
    x = 208,338.79

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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.