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Finding the Fourth Proportional to 378,401.72, 522,184.56 and 206,322.88

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Solution

The fourth proportional to 378,401.72, 522,184.56 and 206,322.88 is: 284,720.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,401.72 : 522,184.56 = 206,322.88 : x
  2. Step 2: Convert to fraction form
    378,401.72/522,184.56 = 206,322.88/x
  3. Step 3: Cross multiply
    378,401.72x = 522,184.56 × 206,322.88
  4. Step 4: Simplify right side
    378,401.72x = 107,738,622,310.73
  5. Step 5: Solve for x
    x = 107,738,622,310.73/378,401.72
  6. Step 6: Final answer
    x = 284,720.22

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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.