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Finding the Fourth Proportional to 378,266.66, 522,004.56 and 206,184.59

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Solution

The fourth proportional to 378,266.66, 522,004.56 and 206,184.59 is: 284,532.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,266.66 : 522,004.56 = 206,184.59 : x
  2. Step 2: Convert to fraction form
    378,266.66/522,004.56 = 206,184.59/x
  3. Step 3: Cross multiply
    378,266.66x = 522,004.56 × 206,184.59
  4. Step 4: Simplify right side
    378,266.66x = 107,629,296,181.73
  5. Step 5: Solve for x
    x = 107,629,296,181.73/378,266.66
  6. Step 6: Final answer
    x = 284,532.86

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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.