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Finding the Fourth Proportional to 395,163.88, 545,321.94 and 213,872.04

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Solution

The fourth proportional to 395,163.88, 545,321.94 and 213,872.04 is: 295,141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,163.88 : 545,321.94 = 213,872.04 : x
  2. Step 2: Convert to fraction form
    395,163.88/545,321.94 = 213,872.04/x
  3. Step 3: Cross multiply
    395,163.88x = 545,321.94 × 213,872.04
  4. Step 4: Simplify right side
    395,163.88x = 116,629,115,764.56
  5. Step 5: Solve for x
    x = 116,629,115,764.56/395,163.88
  6. Step 6: Final answer
    x = 295,141.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.