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Finding the Fourth Proportional to 392,720.96, 589,220.64 and 167,986.88

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Solution

The fourth proportional to 392,720.96, 589,220.64 and 167,986.88 is: 252,039.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,720.96 : 589,220.64 = 167,986.88 : x
  2. Step 2: Convert to fraction form
    392,720.96/589,220.64 = 167,986.88/x
  3. Step 3: Cross multiply
    392,720.96x = 589,220.64 × 167,986.88
  4. Step 4: Simplify right side
    392,720.96x = 98,981,336,945.20
  5. Step 5: Solve for x
    x = 98,981,336,945.20/392,720.96
  6. Step 6: Final answer
    x = 252,039.86

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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.