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Finding the Fourth Proportional to 378,806.24, 522,763.64 and 206,735.27

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Solution

The fourth proportional to 378,806.24, 522,763.64 and 206,735.27 is: 285,300.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,806.24 : 522,763.64 = 206,735.27 : x
  2. Step 2: Convert to fraction form
    378,806.24/522,763.64 = 206,735.27/x
  3. Step 3: Cross multiply
    378,806.24x = 522,763.64 × 206,735.27
  4. Step 4: Simplify right side
    378,806.24x = 108,073,678,614.09
  5. Step 5: Solve for x
    x = 108,073,678,614.09/378,806.24
  6. Step 6: Final answer
    x = 285,300.69

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1.5x scale

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.