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Finding the Fourth Proportional to 490,230.60, 734,568.30 and 323,824.20

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Solution

The fourth proportional to 490,230.60, 734,568.30 and 323,824.20 is: 485,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,230.60 : 734,568.30 = 323,824.20 : x
  2. Step 2: Convert to fraction form
    490,230.60/734,568.30 = 323,824.20/x
  3. Step 3: Cross multiply
    490,230.60x = 734,568.30 × 323,824.20
  4. Step 4: Simplify right side
    490,230.60x = 237,870,992,092.86
  5. Step 5: Solve for x
    x = 237,870,992,092.86/490,230.60
  6. Step 6: Final answer
    x = 485,222.65

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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.