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Finding the Fourth Proportional to 378,857.82, 522,824.90 and 206,777.37

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Solution

The fourth proportional to 378,857.82, 522,824.90 and 206,777.37 is: 285,353.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,857.82 : 522,824.90 = 206,777.37 : x
  2. Step 2: Convert to fraction form
    378,857.82/522,824.90 = 206,777.37/x
  3. Step 3: Cross multiply
    378,857.82x = 522,824.90 × 206,777.37
  4. Step 4: Simplify right side
    378,857.82x = 108,108,357,792.51
  5. Step 5: Solve for x
    x = 108,108,357,792.51/378,857.82
  6. Step 6: Final answer
    x = 285,353.38

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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.