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Finding the Fourth Proportional to 485,183.20, 727,774.80 and 275,231.20

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Solution

The fourth proportional to 485,183.20, 727,774.80 and 275,231.20 is: 412,846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,183.20 : 727,774.80 = 275,231.20 : x
  2. Step 2: Convert to fraction form
    485,183.20/727,774.80 = 275,231.20/x
  3. Step 3: Cross multiply
    485,183.20x = 727,774.80 × 275,231.20
  4. Step 4: Simplify right side
    485,183.20x = 200,306,331,533.76
  5. Step 5: Solve for x
    x = 200,306,331,533.76/485,183.20
  6. Step 6: Final answer
    x = 412,846.80

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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.