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Finding the Fourth Proportional to 512,094,241.80, 768,141,362.70 and 382,954,078.80

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Solution

The fourth proportional to 512,094,241.80, 768,141,362.70 and 382,954,078.80 is: 574,431,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,094,241.80 : 768,141,362.70 = 382,954,078.80 : x
  2. Step 2: Convert to fraction form
    512,094,241.80/768,141,362.70 = 382,954,078.80/x
  3. Step 3: Cross multiply
    512,094,241.80x = 768,141,362.70 × 382,954,078.80
  4. Step 4: Simplify right side
    512,094,241.80x = 294,162,867,940,955,200
  5. Step 5: Solve for x
    x = 294,162,867,940,955,200/512,094,241.80
  6. Step 6: Final answer
    x = 574,431,118.20

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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.