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Finding the Fourth Proportional to 378,266.32, 522,004.11 and 206,184.27

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Solution

The fourth proportional to 378,266.32, 522,004.11 and 206,184.27 is: 284,532.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,266.32 : 522,004.11 = 206,184.27 : x
  2. Step 2: Convert to fraction form
    378,266.32/522,004.11 = 206,184.27/x
  3. Step 3: Cross multiply
    378,266.32x = 522,004.11 × 206,184.27
  4. Step 4: Simplify right side
    378,266.32x = 107,629,035,765.19
  5. Step 5: Solve for x
    x = 107,629,035,765.19/378,266.32
  6. Step 6: Final answer
    x = 284,532.43

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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.