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Finding the Fourth Proportional to 392,243.28, 588,267.72 and 111,762.96

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Solution

The fourth proportional to 392,243.28, 588,267.72 and 111,762.96 is: 167,616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,243.28 : 588,267.72 = 111,762.96 : x
  2. Step 2: Convert to fraction form
    392,243.28/588,267.72 = 111,762.96/x
  3. Step 3: Cross multiply
    392,243.28x = 588,267.72 × 111,762.96
  4. Step 4: Simplify right side
    392,243.28x = 65,746,541,659.65
  5. Step 5: Solve for x
    x = 65,746,541,659.65/392,243.28
  6. Step 6: Final answer
    x = 167,616.74

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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.