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Finding the Fourth Proportional to 393,481.89, 590,222.30 and 156,990.65

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Solution

The fourth proportional to 393,481.89, 590,222.30 and 156,990.65 is: 235,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,481.89 : 590,222.30 = 156,990.65 : x
  2. Step 2: Convert to fraction form
    393,481.89/590,222.30 = 156,990.65/x
  3. Step 3: Cross multiply
    393,481.89x = 590,222.30 × 156,990.65
  4. Step 4: Simplify right side
    393,481.89x = 92,659,378,785.43
  5. Step 5: Solve for x
    x = 92,659,378,785.43/393,481.89
  6. Step 6: Final answer
    x = 235,485.75

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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.