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Finding the Fourth Proportional to 378,083.00, 521,748.45 and 206,003.24

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Solution

The fourth proportional to 378,083.00, 521,748.45 and 206,003.24 is: 284,281.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,083.00 : 521,748.45 = 206,003.24 : x
  2. Step 2: Convert to fraction form
    378,083.00/521,748.45 = 206,003.24/x
  3. Step 3: Cross multiply
    378,083.00x = 521,748.45 × 206,003.24
  4. Step 4: Simplify right side
    378,083.00x = 107,481,870,512.79
  5. Step 5: Solve for x
    x = 107,481,870,512.79/378,083.00
  6. Step 6: Final answer
    x = 284,281.15

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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.