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Finding the Fourth Proportional to 378,805.98, 522,755.31 and 206,725.30

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Solution

The fourth proportional to 378,805.98, 522,755.31 and 206,725.30 is: 285,282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,805.98 : 522,755.31 = 206,725.30 : x
  2. Step 2: Convert to fraction form
    378,805.98/522,755.31 = 206,725.30/x
  3. Step 3: Cross multiply
    378,805.98x = 522,755.31 × 206,725.30
  4. Step 4: Simplify right side
    378,805.98x = 108,066,748,506.51
  5. Step 5: Solve for x
    x = 108,066,748,506.51/378,805.98
  6. Step 6: Final answer
    x = 285,282.58

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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.