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Finding the Fourth Proportional to 378,824.78, 522,781.06 and 206,744.06

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Solution

The fourth proportional to 378,824.78, 522,781.06 and 206,744.06 is: 285,308.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,824.78 : 522,781.06 = 206,744.06 : x
  2. Step 2: Convert to fraction form
    378,824.78/522,781.06 = 206,744.06/x
  3. Step 3: Cross multiply
    378,824.78x = 522,781.06 × 206,744.06
  4. Step 4: Simplify right side
    378,824.78x = 108,081,878,835.50
  5. Step 5: Solve for x
    x = 108,081,878,835.50/378,824.78
  6. Step 6: Final answer
    x = 285,308.37

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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.