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Finding the Fourth Proportional to 271,814.73, 405,891.57 and 221,993.66

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Solution

The fourth proportional to 271,814.73, 405,891.57 and 221,993.66 is: 331,495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,814.73 : 405,891.57 = 221,993.66 : x
  2. Step 2: Convert to fraction form
    271,814.73/405,891.57 = 221,993.66/x
  3. Step 3: Cross multiply
    271,814.73x = 405,891.57 × 221,993.66
  4. Step 4: Simplify right side
    271,814.73x = 90,105,353,157.99
  5. Step 5: Solve for x
    x = 90,105,353,157.99/271,814.73
  6. Step 6: Final answer
    x = 331,495.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.