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Finding the Fourth Proportional to 392,430.72, 588,633.48 and 111,947.88

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Solution

The fourth proportional to 392,430.72, 588,633.48 and 111,947.88 is: 167,918.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,430.72 : 588,633.48 = 111,947.88 : x
  2. Step 2: Convert to fraction form
    392,430.72/588,633.48 = 111,947.88/x
  3. Step 3: Cross multiply
    392,430.72x = 588,633.48 × 111,947.88
  4. Step 4: Simplify right side
    392,430.72x = 65,896,270,183.02
  5. Step 5: Solve for x
    x = 65,896,270,183.02/392,430.72
  6. Step 6: Final answer
    x = 167,918.23

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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.