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Finding the Fourth Proportional to 533,845,628.80, 800,768,443.20 and 419,183,843.20

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Solution

The fourth proportional to 533,845,628.80, 800,768,443.20 and 419,183,843.20 is: 628,775,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,845,628.80 : 800,768,443.20 = 419,183,843.20 : x
  2. Step 2: Convert to fraction form
    533,845,628.80/800,768,443.20 = 419,183,843.20/x
  3. Step 3: Cross multiply
    533,845,628.80x = 800,768,443.20 × 419,183,843.20
  4. Step 4: Simplify right side
    533,845,628.80x = 335,669,193,533,856,896
  5. Step 5: Solve for x
    x = 335,669,193,533,856,896/533,845,628.80
  6. Step 6: Final answer
    x = 628,775,764.80

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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.