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Finding the Fourth Proportional to 378,286.56, 521,994.24 and 208,488

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Solution

The fourth proportional to 378,286.56, 521,994.24 and 208,488 is: 287,690.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,286.56 : 521,994.24 = 208,488 : x
  2. Step 2: Convert to fraction form
    378,286.56/521,994.24 = 208,488/x
  3. Step 3: Cross multiply
    378,286.56x = 521,994.24 × 208,488
  4. Step 4: Simplify right side
    378,286.56x = 108,829,535,109.12
  5. Step 5: Solve for x
    x = 108,829,535,109.12/378,286.56
  6. Step 6: Final answer
    x = 287,690.73

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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.