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Finding the Fourth Proportional to 392,040,806.40, 588,061,209.60 and 330,818,803.20

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Solution

The fourth proportional to 392,040,806.40, 588,061,209.60 and 330,818,803.20 is: 496,228,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,040,806.40 : 588,061,209.60 = 330,818,803.20 : x
  2. Step 2: Convert to fraction form
    392,040,806.40/588,061,209.60 = 330,818,803.20/x
  3. Step 3: Cross multiply
    392,040,806.40x = 588,061,209.60 × 330,818,803.20
  4. Step 4: Simplify right side
    392,040,806.40x = 194,541,705,568,216,352
  5. Step 5: Solve for x
    x = 194,541,705,568,216,352/392,040,806.40
  6. Step 6: Final answer
    x = 496,228,204.80

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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.