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Finding the Fourth Proportional to 305,997,736.40, 458,996,604.60 and 220,542,023.60

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Solution

The fourth proportional to 305,997,736.40, 458,996,604.60 and 220,542,023.60 is: 330,813,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,997,736.40 : 458,996,604.60 = 220,542,023.60 : x
  2. Step 2: Convert to fraction form
    305,997,736.40/458,996,604.60 = 220,542,023.60/x
  3. Step 3: Cross multiply
    305,997,736.40x = 458,996,604.60 × 220,542,023.60
  4. Step 4: Simplify right side
    305,997,736.40x = 101,228,040,004,013,072
  5. Step 5: Solve for x
    x = 101,228,040,004,013,072/305,997,736.40
  6. Step 6: Final answer
    x = 330,813,035.40

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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.