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Finding the Fourth Proportional to 378,633.67, 522,515.96 and 206,555.30

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Solution

The fourth proportional to 378,633.67, 522,515.96 and 206,555.30 is: 285,047.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,633.67 : 522,515.96 = 206,555.30 : x
  2. Step 2: Convert to fraction form
    378,633.67/522,515.96 = 206,555.30/x
  3. Step 3: Cross multiply
    378,633.67x = 522,515.96 × 206,555.30
  4. Step 4: Simplify right side
    378,633.67x = 107,928,440,872.59
  5. Step 5: Solve for x
    x = 107,928,440,872.59/378,633.67
  6. Step 6: Final answer
    x = 285,047.13

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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.