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Finding the Fourth Proportional to 285,716.68, 394,209.21 and 225,099.16

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Solution

The fourth proportional to 285,716.68, 394,209.21 and 225,099.16 is: 310,573.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,716.68 : 394,209.21 = 225,099.16 : x
  2. Step 2: Convert to fraction form
    285,716.68/394,209.21 = 225,099.16/x
  3. Step 3: Cross multiply
    285,716.68x = 394,209.21 × 225,099.16
  4. Step 4: Simplify right side
    285,716.68x = 88,736,161,893.86
  5. Step 5: Solve for x
    x = 88,736,161,893.86/285,716.68
  6. Step 6: Final answer
    x = 310,573.97

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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.