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Finding the Fourth Proportional to 392,299.11, 588,448.67 and 111,809.07

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Solution

The fourth proportional to 392,299.11, 588,448.67 and 111,809.07 is: 167,713.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,299.11 : 588,448.67 = 111,809.07 : x
  2. Step 2: Convert to fraction form
    392,299.11/588,448.67 = 111,809.07/x
  3. Step 3: Cross multiply
    392,299.11x = 588,448.67 × 111,809.07
  4. Step 4: Simplify right side
    392,299.11x = 65,793,897,976.39
  5. Step 5: Solve for x
    x = 65,793,897,976.39/392,299.11
  6. Step 6: Final answer
    x = 167,713.61

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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.