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Finding the Fourth Proportional to 485,109.86, 727,765.58 and 204,629.54

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Solution

The fourth proportional to 485,109.86, 727,765.58 and 204,629.54 is: 306,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,109.86 : 727,765.58 = 204,629.54 : x
  2. Step 2: Convert to fraction form
    485,109.86/727,765.58 = 204,629.54/x
  3. Step 3: Cross multiply
    485,109.86x = 727,765.58 × 204,629.54
  4. Step 4: Simplify right side
    485,109.86x = 148,922,332,735.98
  5. Step 5: Solve for x
    x = 148,922,332,735.98/485,109.86
  6. Step 6: Final answer
    x = 306,986.82

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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.