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Finding the Fourth Proportional to 271,049.13, 406,606.50 and 256,122.87

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Solution

The fourth proportional to 271,049.13, 406,606.50 and 256,122.87 is: 384,215.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,049.13 : 406,606.50 = 256,122.87 : x
  2. Step 2: Convert to fraction form
    271,049.13/406,606.50 = 256,122.87/x
  3. Step 3: Cross multiply
    271,049.13x = 406,606.50 × 256,122.87
  4. Step 4: Simplify right side
    271,049.13x = 104,141,223,740.66
  5. Step 5: Solve for x
    x = 104,141,223,740.66/271,049.13
  6. Step 6: Final answer
    x = 384,215.30

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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.