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Finding the Fourth Proportional to 279,937,411.70, 419,906,117.55 and 259,530,077.30

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Solution

The fourth proportional to 279,937,411.70, 419,906,117.55 and 259,530,077.30 is: 389,295,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,937,411.70 : 419,906,117.55 = 259,530,077.30 : x
  2. Step 2: Convert to fraction form
    279,937,411.70/419,906,117.55 = 259,530,077.30/x
  3. Step 3: Cross multiply
    279,937,411.70x = 419,906,117.55 × 259,530,077.30
  4. Step 4: Simplify right side
    279,937,411.70x = 108,978,267,146,494,400
  5. Step 5: Solve for x
    x = 108,978,267,146,494,400/279,937,411.70
  6. Step 6: Final answer
    x = 389,295,115.95

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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.