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Finding the Fourth Proportional to 378,397.96, 522,193.25 and 206,314.51

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Solution

The fourth proportional to 378,397.96, 522,193.25 and 206,314.51 is: 284,716.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,397.96 : 522,193.25 = 206,314.51 : x
  2. Step 2: Convert to fraction form
    378,397.96/522,193.25 = 206,314.51/x
  3. Step 3: Cross multiply
    378,397.96x = 522,193.25 × 206,314.51
  4. Step 4: Simplify right side
    378,397.96x = 107,736,043,709.36
  5. Step 5: Solve for x
    x = 107,736,043,709.36/378,397.96
  6. Step 6: Final answer
    x = 284,716.24

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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.