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Finding the Fourth Proportional to 320,245.92, 480,351.56 and 162,470.27

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Solution

The fourth proportional to 320,245.92, 480,351.56 and 162,470.27 is: 243,696.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,245.92 : 480,351.56 = 162,470.27 : x
  2. Step 2: Convert to fraction form
    320,245.92/480,351.56 = 162,470.27/x
  3. Step 3: Cross multiply
    320,245.92x = 480,351.56 × 162,470.27
  4. Step 4: Simplify right side
    320,245.92x = 78,042,848,036.65
  5. Step 5: Solve for x
    x = 78,042,848,036.65/320,245.92
  6. Step 6: Final answer
    x = 243,696.62

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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.