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Finding the Fourth Proportional to 378,265.84, 521,999.76 and 206,185.44

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Solution

The fourth proportional to 378,265.84, 521,999.76 and 206,185.44 is: 284,532.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,265.84 : 521,999.76 = 206,185.44 : x
  2. Step 2: Convert to fraction form
    378,265.84/521,999.76 = 206,185.44/x
  3. Step 3: Cross multiply
    378,265.84x = 521,999.76 × 206,185.44
  4. Step 4: Simplify right side
    378,265.84x = 107,628,750,195.49
  5. Step 5: Solve for x
    x = 107,628,750,195.49/378,265.84
  6. Step 6: Final answer
    x = 284,532.04

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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.