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Finding the Fourth Proportional to 271,933.32, 407,857.86 and 138,911.88

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Solution

The fourth proportional to 271,933.32, 407,857.86 and 138,911.88 is: 208,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,933.32 : 407,857.86 = 138,911.88 : x
  2. Step 2: Convert to fraction form
    271,933.32/407,857.86 = 138,911.88/x
  3. Step 3: Cross multiply
    271,933.32x = 407,857.86 × 138,911.88
  4. Step 4: Simplify right side
    271,933.32x = 56,656,302,105.38
  5. Step 5: Solve for x
    x = 56,656,302,105.38/271,933.32
  6. Step 6: Final answer
    x = 208,346.30

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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.