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Finding the Fourth Proportional to 394,107.39, 543,299.00 and 280,733.31

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Solution

The fourth proportional to 394,107.39, 543,299.00 and 280,733.31 is: 387,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,107.39 : 543,299.00 = 280,733.31 : x
  2. Step 2: Convert to fraction form
    394,107.39/543,299.00 = 280,733.31/x
  3. Step 3: Cross multiply
    394,107.39x = 543,299.00 × 280,733.31
  4. Step 4: Simplify right side
    394,107.39x = 152,522,125,186.02
  5. Step 5: Solve for x
    x = 152,522,125,186.02/394,107.39
  6. Step 6: Final answer
    x = 387,006.51

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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.