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Finding the Fourth Proportional to 378,371.34, 521,609.92 and 297,658.73

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Solution

The fourth proportional to 378,371.34, 521,609.92 and 297,658.73 is: 410,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,371.34 : 521,609.92 = 297,658.73 : x
  2. Step 2: Convert to fraction form
    378,371.34/521,609.92 = 297,658.73/x
  3. Step 3: Cross multiply
    378,371.34x = 521,609.92 × 297,658.73
  4. Step 4: Simplify right side
    378,371.34x = 155,261,746,902.48
  5. Step 5: Solve for x
    x = 155,261,746,902.48/378,371.34
  6. Step 6: Final answer
    x = 410,342.25

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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.