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Finding the Fourth Proportional to 378,229.40, 521,959.74 and 208,463.96

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Solution

The fourth proportional to 378,229.40, 521,959.74 and 208,463.96 is: 287,682.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,229.40 : 521,959.74 = 208,463.96 : x
  2. Step 2: Convert to fraction form
    378,229.40/521,959.74 = 208,463.96/x
  3. Step 3: Cross multiply
    378,229.40x = 521,959.74 × 208,463.96
  4. Step 4: Simplify right side
    378,229.40x = 108,809,794,360.97
  5. Step 5: Solve for x
    x = 108,809,794,360.97/378,229.40
  6. Step 6: Final answer
    x = 287,682.01

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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.