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Finding the Fourth Proportional to 378,824.36, 522,790.17 and 206,751.74

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Solution

The fourth proportional to 378,824.36, 522,790.17 and 206,751.74 is: 285,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,824.36 : 522,790.17 = 206,751.74 : x
  2. Step 2: Convert to fraction form
    378,824.36/522,790.17 = 206,751.74/x
  3. Step 3: Cross multiply
    378,824.36x = 522,790.17 × 206,751.74
  4. Step 4: Simplify right side
    378,824.36x = 108,087,777,302.40
  5. Step 5: Solve for x
    x = 108,087,777,302.40/378,824.36
  6. Step 6: Final answer
    x = 285,324.25

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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.