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Finding the Fourth Proportional to 378,092.44, 521,790.86 and 208,326.52

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Solution

The fourth proportional to 378,092.44, 521,790.86 and 208,326.52 is: 287,503.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,092.44 : 521,790.86 = 208,326.52 : x
  2. Step 2: Convert to fraction form
    378,092.44/521,790.86 = 208,326.52/x
  3. Step 3: Cross multiply
    378,092.44x = 521,790.86 × 208,326.52
  4. Step 4: Simplify right side
    378,092.44x = 108,702,874,031.61
  5. Step 5: Solve for x
    x = 108,702,874,031.61/378,092.44
  6. Step 6: Final answer
    x = 287,503.43

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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.