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Finding the Fourth Proportional to 8,311,982.40, 12,446,978.40 and 5,456,635.20

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Solution

The fourth proportional to 8,311,982.40, 12,446,978.40 and 5,456,635.20 is: 8,171,169.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311,982.40 : 12,446,978.40 = 5,456,635.20 : x
  2. Step 2: Convert to fraction form
    8,311,982.40/12,446,978.40 = 5,456,635.20/x
  3. Step 3: Cross multiply
    8,311,982.40x = 12,446,978.40 × 5,456,635.20
  4. Step 4: Simplify right side
    8,311,982.40x = 67,918,620,471,079.69
  5. Step 5: Solve for x
    x = 67,918,620,471,079.69/8,311,982.40
  6. Step 6: Final answer
    x = 8,171,169.91

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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.