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Finding the Fourth Proportional to 378,229.62, 521,959.34 and 208,463.74

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Solution

The fourth proportional to 378,229.62, 521,959.34 and 208,463.74 is: 287,681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,229.62 : 521,959.34 = 208,463.74 : x
  2. Step 2: Convert to fraction form
    378,229.62/521,959.34 = 208,463.74/x
  3. Step 3: Cross multiply
    378,229.62x = 521,959.34 × 208,463.74
  4. Step 4: Simplify right side
    378,229.62x = 108,809,596,144.33
  5. Step 5: Solve for x
    x = 108,809,596,144.33/378,229.62
  6. Step 6: Final answer
    x = 287,681.32

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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.