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Finding the Fourth Proportional to 392,469.40, 588,709.50 and 111,986.56

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Solution

The fourth proportional to 392,469.40, 588,709.50 and 111,986.56 is: 167,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,469.40 : 588,709.50 = 111,986.56 : x
  2. Step 2: Convert to fraction form
    392,469.40/588,709.50 = 111,986.56/x
  3. Step 3: Cross multiply
    392,469.40x = 588,709.50 × 111,986.56
  4. Step 4: Simplify right side
    392,469.40x = 65,927,551,744.32
  5. Step 5: Solve for x
    x = 65,927,551,744.32/392,469.40
  6. Step 6: Final answer
    x = 167,981.38

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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.