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Finding the Fourth Proportional to 392,183.52, 588,373.40 and 111,700.78

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Solution

The fourth proportional to 392,183.52, 588,373.40 and 111,700.78 is: 167,579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,183.52 : 588,373.40 = 111,700.78 : x
  2. Step 2: Convert to fraction form
    392,183.52/588,373.40 = 111,700.78/x
  3. Step 3: Cross multiply
    392,183.52x = 588,373.40 × 111,700.78
  4. Step 4: Simplify right side
    392,183.52x = 65,721,767,711.25
  5. Step 5: Solve for x
    x = 65,721,767,711.25/392,183.52
  6. Step 6: Final answer
    x = 167,579.12

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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.