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Finding the Fourth Proportional to 378,125.74, 521,813.57 and 206,043.73

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Solution

The fourth proportional to 378,125.74, 521,813.57 and 206,043.73 is: 284,340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,125.74 : 521,813.57 = 206,043.73 : x
  2. Step 2: Convert to fraction form
    378,125.74/521,813.57 = 206,043.73/x
  3. Step 3: Cross multiply
    378,125.74x = 521,813.57 × 206,043.73
  4. Step 4: Simplify right side
    378,125.74x = 107,516,416,799.33
  5. Step 5: Solve for x
    x = 107,516,416,799.33/378,125.74
  6. Step 6: Final answer
    x = 284,340.38

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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.