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Finding the Fourth Proportional to 378,093.43, 521,767.95 and 208,327.54

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Solution

The fourth proportional to 378,093.43, 521,767.95 and 208,327.54 is: 287,491.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,093.43 : 521,767.95 = 208,327.54 : x
  2. Step 2: Convert to fraction form
    378,093.43/521,767.95 = 208,327.54/x
  3. Step 3: Cross multiply
    378,093.43x = 521,767.95 × 208,327.54
  4. Step 4: Simplify right side
    378,093.43x = 108,698,633,474.34
  5. Step 5: Solve for x
    x = 108,698,633,474.34/378,093.43
  6. Step 6: Final answer
    x = 287,491.46

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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.