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Finding the Fourth Proportional to 819,379,879.20, 1,229,069,818.80 and 764,960,320.80

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Solution

The fourth proportional to 819,379,879.20, 1,229,069,818.80 and 764,960,320.80 is: 1,147,440,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,379,879.20 : 1,229,069,818.80 = 764,960,320.80 : x
  2. Step 2: Convert to fraction form
    819,379,879.20/1,229,069,818.80 = 764,960,320.80/x
  3. Step 3: Cross multiply
    819,379,879.20x = 1,229,069,818.80 × 764,960,320.80
  4. Step 4: Simplify right side
    819,379,879.20x = 940,189,642,874,845,824
  5. Step 5: Solve for x
    x = 940,189,642,874,845,824/819,379,879.20
  6. Step 6: Final answer
    x = 1,147,440,481.20

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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.