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Finding the Fourth Proportional to 378,107.52, 521,785.17 and 208,338

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Solution

The fourth proportional to 378,107.52, 521,785.17 and 208,338 is: 287,504.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,107.52 : 521,785.17 = 208,338 : x
  2. Step 2: Convert to fraction form
    378,107.52/521,785.17 = 208,338/x
  3. Step 3: Cross multiply
    378,107.52x = 521,785.17 × 208,338
  4. Step 4: Simplify right side
    378,107.52x = 108,707,678,747.46
  5. Step 5: Solve for x
    x = 108,707,678,747.46/378,107.52
  6. Step 6: Final answer
    x = 287,504.67

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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.