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Finding the Fourth Proportional to 300,584.66, 415,087.81 and 193,340.86

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Solution

The fourth proportional to 300,584.66, 415,087.81 and 193,340.86 is: 266,991.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,584.66 : 415,087.81 = 193,340.86 : x
  2. Step 2: Convert to fraction form
    300,584.66/415,087.81 = 193,340.86/x
  3. Step 3: Cross multiply
    300,584.66x = 415,087.81 × 193,340.86
  4. Step 4: Simplify right side
    300,584.66x = 80,253,432,639.84
  5. Step 5: Solve for x
    x = 80,253,432,639.84/300,584.66
  6. Step 6: Final answer
    x = 266,991.12

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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.