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Finding the Fourth Proportional to 6,439,978.20, 9,659,967.30 and 4,172,496.60

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Solution

The fourth proportional to 6,439,978.20, 9,659,967.30 and 4,172,496.60 is: 6,258,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439,978.20 : 9,659,967.30 = 4,172,496.60 : x
  2. Step 2: Convert to fraction form
    6,439,978.20/9,659,967.30 = 4,172,496.60/x
  3. Step 3: Cross multiply
    6,439,978.20x = 9,659,967.30 × 4,172,496.60
  4. Step 4: Simplify right side
    6,439,978.20x = 40,306,180,715,361.19
  5. Step 5: Solve for x
    x = 40,306,180,715,361.19/6,439,978.20
  6. Step 6: Final answer
    x = 6,258,744.90

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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.