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Finding the Fourth Proportional to 279,979,880.40, 419,969,820.60 and 183,233,998.80

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Solution

The fourth proportional to 279,979,880.40, 419,969,820.60 and 183,233,998.80 is: 274,850,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,979,880.40 : 419,969,820.60 = 183,233,998.80 : x
  2. Step 2: Convert to fraction form
    279,979,880.40/419,969,820.60 = 183,233,998.80/x
  3. Step 3: Cross multiply
    279,979,880.40x = 419,969,820.60 × 183,233,998.80
  4. Step 4: Simplify right side
    279,979,880.40x = 76,952,749,603,856,624
  5. Step 5: Solve for x
    x = 76,952,749,603,856,624/279,979,880.40
  6. Step 6: Final answer
    x = 274,850,998.20

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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.