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Finding the Fourth Proportional to 654,396.97, 981,607.89 and 205,107.94

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Solution

The fourth proportional to 654,396.97, 981,607.89 and 205,107.94 is: 307,665.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,396.97 : 981,607.89 = 205,107.94 : x
  2. Step 2: Convert to fraction form
    654,396.97/981,607.89 = 205,107.94/x
  3. Step 3: Cross multiply
    654,396.97x = 981,607.89 × 205,107.94
  4. Step 4: Simplify right side
    654,396.97x = 201,335,572,205.65
  5. Step 5: Solve for x
    x = 201,335,572,205.65/654,396.97
  6. Step 6: Final answer
    x = 307,665.81

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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.