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Finding the Fourth Proportional to 206,803.39, 310,470.74 and 159,448.56

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Solution

The fourth proportional to 206,803.39, 310,470.74 and 159,448.56 is: 239,377.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,803.39 : 310,470.74 = 159,448.56 : x
  2. Step 2: Convert to fraction form
    206,803.39/310,470.74 = 159,448.56/x
  3. Step 3: Cross multiply
    206,803.39x = 310,470.74 × 159,448.56
  4. Step 4: Simplify right side
    206,803.39x = 49,504,112,797.96
  5. Step 5: Solve for x
    x = 49,504,112,797.96/206,803.39
  6. Step 6: Final answer
    x = 239,377.67

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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.