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Finding the Fourth Proportional to 378,133.78, 521,824.70 and 206,051.78

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Solution

The fourth proportional to 378,133.78, 521,824.70 and 206,051.78 is: 284,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,133.78 : 521,824.70 = 206,051.78 : x
  2. Step 2: Convert to fraction form
    378,133.78/521,824.70 = 206,051.78/x
  3. Step 3: Cross multiply
    378,133.78x = 521,824.70 × 206,051.78
  4. Step 4: Simplify right side
    378,133.78x = 107,522,908,282.97
  5. Step 5: Solve for x
    x = 107,522,908,282.97/378,133.78
  6. Step 6: Final answer
    x = 284,351.50

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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.