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Finding the Fourth Proportional to 279,335,200.45, 419,002,800.68 and 279,335,200.45

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Solution

The fourth proportional to 279,335,200.45, 419,002,800.68 and 279,335,200.45 is: 419,002,800.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,335,200.45 : 419,002,800.68 = 279,335,200.45 : x
  2. Step 2: Convert to fraction form
    279,335,200.45/419,002,800.68 = 279,335,200.45/x
  3. Step 3: Cross multiply
    279,335,200.45x = 419,002,800.68 × 279,335,200.45
  4. Step 4: Simplify right side
    279,335,200.45x = 117,042,231,315,662,512
  5. Step 5: Solve for x
    x = 117,042,231,315,662,512/279,335,200.45
  6. Step 6: Final answer
    x = 419,002,800.68

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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.