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Finding the Fourth Proportional to 378,863.02, 522,832.06 and 206,782.56

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Solution

The fourth proportional to 378,863.02, 522,832.06 and 206,782.56 is: 285,360.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,863.02 : 522,832.06 = 206,782.56 : x
  2. Step 2: Convert to fraction form
    378,863.02/522,832.06 = 206,782.56/x
  3. Step 3: Cross multiply
    378,863.02x = 522,832.06 × 206,782.56
  4. Step 4: Simplify right side
    378,863.02x = 108,112,551,816.87
  5. Step 5: Solve for x
    x = 108,112,551,816.87/378,863.02
  6. Step 6: Final answer
    x = 285,360.53

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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.