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Finding the Fourth Proportional to 394,977.78, 545,067.90 and 213,689.78

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Solution

The fourth proportional to 394,977.78, 545,067.90 and 213,689.78 is: 294,891.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,977.78 : 545,067.90 = 213,689.78 : x
  2. Step 2: Convert to fraction form
    394,977.78/545,067.90 = 213,689.78/x
  3. Step 3: Cross multiply
    394,977.78x = 545,067.90 × 213,689.78
  4. Step 4: Simplify right side
    394,977.78x = 116,475,439,636.06
  5. Step 5: Solve for x
    x = 116,475,439,636.06/394,977.78
  6. Step 6: Final answer
    x = 294,891.12

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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.