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Finding the Fourth Proportional to 394,289.86, 543,553.46 and 280,915.78

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Solution

The fourth proportional to 394,289.86, 543,553.46 and 280,915.78 is: 387,260.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,289.86 : 543,553.46 = 280,915.78 : x
  2. Step 2: Convert to fraction form
    394,289.86/543,553.46 = 280,915.78/x
  3. Step 3: Cross multiply
    394,289.86x = 543,553.46 × 280,915.78
  4. Step 4: Simplify right side
    394,289.86x = 152,692,744,187.60
  5. Step 5: Solve for x
    x = 152,692,744,187.60/394,289.86
  6. Step 6: Final answer
    x = 387,260.13

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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.