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Finding the Fourth Proportional to 309,797.44, 426,723.86 and 218,997.24

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Solution

The fourth proportional to 309,797.44, 426,723.86 and 218,997.24 is: 301,653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,797.44 : 426,723.86 = 218,997.24 : x
  2. Step 2: Convert to fraction form
    309,797.44/426,723.86 = 218,997.24/x
  3. Step 3: Cross multiply
    309,797.44x = 426,723.86 × 218,997.24
  4. Step 4: Simplify right side
    309,797.44x = 93,451,347,582.15
  5. Step 5: Solve for x
    x = 93,451,347,582.15/309,797.44
  6. Step 6: Final answer
    x = 301,653.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.