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Finding the Fourth Proportional to 394,194.89, 590,804.48 and 280,160.96

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Solution

The fourth proportional to 394,194.89, 590,804.48 and 280,160.96 is: 419,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,194.89 : 590,804.48 = 280,160.96 : x
  2. Step 2: Convert to fraction form
    394,194.89/590,804.48 = 280,160.96/x
  3. Step 3: Cross multiply
    394,194.89x = 590,804.48 × 280,160.96
  4. Step 4: Simplify right side
    394,194.89x = 165,520,348,035.48
  5. Step 5: Solve for x
    x = 165,520,348,035.48/394,194.89
  6. Step 6: Final answer
    x = 419,894.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.