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Finding the Fourth Proportional to 378,033.43, 521,680.02 and 205,953.45

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Solution

The fourth proportional to 378,033.43, 521,680.02 and 205,953.45 is: 284,212.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,033.43 : 521,680.02 = 205,953.45 : x
  2. Step 2: Convert to fraction form
    378,033.43/521,680.02 = 205,953.45/x
  3. Step 3: Cross multiply
    378,033.43x = 521,680.02 × 205,953.45
  4. Step 4: Simplify right side
    378,033.43x = 107,441,800,567.17
  5. Step 5: Solve for x
    x = 107,441,800,567.17/378,033.43
  6. Step 6: Final answer
    x = 284,212.43

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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.