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Finding the Fourth Proportional to 271,952.91, 407,814.03 and 129,633.57

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Solution

The fourth proportional to 271,952.91, 407,814.03 and 129,633.57 is: 194,395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,952.91 : 407,814.03 = 129,633.57 : x
  2. Step 2: Convert to fraction form
    271,952.91/407,814.03 = 129,633.57/x
  3. Step 3: Cross multiply
    271,952.91x = 407,814.03 × 129,633.57
  4. Step 4: Simplify right side
    271,952.91x = 52,866,388,604.99
  5. Step 5: Solve for x
    x = 52,866,388,604.99/271,952.91
  6. Step 6: Final answer
    x = 194,395.38

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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.