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Finding the Fourth Proportional to 271,939.32, 407,866.80 and 138,917.88

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Solution

The fourth proportional to 271,939.32, 407,866.80 and 138,917.88 is: 208,355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,939.32 : 407,866.80 = 138,917.88 : x
  2. Step 2: Convert to fraction form
    271,939.32/407,866.80 = 138,917.88/x
  3. Step 3: Cross multiply
    271,939.32x = 407,866.80 × 138,917.88
  4. Step 4: Simplify right side
    271,939.32x = 56,659,991,178.38
  5. Step 5: Solve for x
    x = 56,659,991,178.38/271,939.32
  6. Step 6: Final answer
    x = 208,355.27

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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.