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Finding the Fourth Proportional to 394,883.20, 592,713.60 and 195,428.80

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Solution

The fourth proportional to 394,883.20, 592,713.60 and 195,428.80 is: 293,335.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,883.20 : 592,713.60 = 195,428.80 : x
  2. Step 2: Convert to fraction form
    394,883.20/592,713.60 = 195,428.80/x
  3. Step 3: Cross multiply
    394,883.20x = 592,713.60 × 195,428.80
  4. Step 4: Simplify right side
    394,883.20x = 115,833,307,591.68
  5. Step 5: Solve for x
    x = 115,833,307,591.68/394,883.20
  6. Step 6: Final answer
    x = 293,335.62

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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.