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Finding the Fourth Proportional to 275,697,843.40, 412,979,894.70 and 189,533,542.60

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Solution

The fourth proportional to 275,697,843.40, 412,979,894.70 and 189,533,542.60 is: 283,910,608.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,697,843.40 : 412,979,894.70 = 189,533,542.60 : x
  2. Step 2: Convert to fraction form
    275,697,843.40/412,979,894.70 = 189,533,542.60/x
  3. Step 3: Cross multiply
    275,697,843.40x = 412,979,894.70 × 189,533,542.60
  4. Step 4: Simplify right side
    275,697,843.40x = 78,273,542,465,065,952
  5. Step 5: Solve for x
    x = 78,273,542,465,065,952/275,697,843.40
  6. Step 6: Final answer
    x = 283,910,608.44

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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.