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Finding the Fourth Proportional to 7,978,995.40, 11,976,009.90 and 4,195,193.80

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Solution

The fourth proportional to 7,978,995.40, 11,976,009.90 and 4,195,193.80 is: 6,296,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978,995.40 : 11,976,009.90 = 4,195,193.80 : x
  2. Step 2: Convert to fraction form
    7,978,995.40/11,976,009.90 = 4,195,193.80/x
  3. Step 3: Cross multiply
    7,978,995.40x = 11,976,009.90 × 4,195,193.80
  4. Step 4: Simplify right side
    7,978,995.40x = 50,241,682,481,218.62
  5. Step 5: Solve for x
    x = 50,241,682,481,218.62/7,978,995.40
  6. Step 6: Final answer
    x = 6,296,742.88

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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.