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Finding the Fourth Proportional to 378,093.73, 521,806.11 and 282,434.35

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Solution

The fourth proportional to 378,093.73, 521,806.11 and 282,434.35 is: 389,786.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,093.73 : 521,806.11 = 282,434.35 : x
  2. Step 2: Convert to fraction form
    378,093.73/521,806.11 = 282,434.35/x
  3. Step 3: Cross multiply
    378,093.73x = 521,806.11 × 282,434.35
  4. Step 4: Simplify right side
    378,093.73x = 147,375,966,894.85
  5. Step 5: Solve for x
    x = 147,375,966,894.85/378,093.73
  6. Step 6: Final answer
    x = 389,786.86

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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.