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Finding the Fourth Proportional to 378,978,811.20, 568,468,216.80 and 323,496,370.80

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Solution

The fourth proportional to 378,978,811.20, 568,468,216.80 and 323,496,370.80 is: 485,244,556.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,978,811.20 : 568,468,216.80 = 323,496,370.80 : x
  2. Step 2: Convert to fraction form
    378,978,811.20/568,468,216.80 = 323,496,370.80/x
  3. Step 3: Cross multiply
    378,978,811.20x = 568,468,216.80 × 323,496,370.80
  4. Step 4: Simplify right side
    378,978,811.20x = 183,897,405,049,947,584
  5. Step 5: Solve for x
    x = 183,897,405,049,947,584/378,978,811.20
  6. Step 6: Final answer
    x = 485,244,556.20

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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.