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Finding the Fourth Proportional to 320,493.92, 480,609.65 and 142,879.44

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Solution

The fourth proportional to 320,493.92, 480,609.65 and 142,879.44 is: 214,260.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,493.92 : 480,609.65 = 142,879.44 : x
  2. Step 2: Convert to fraction form
    320,493.92/480,609.65 = 142,879.44/x
  3. Step 3: Cross multiply
    320,493.92x = 480,609.65 × 142,879.44
  4. Step 4: Simplify right side
    320,493.92x = 68,669,239,810.08
  5. Step 5: Solve for x
    x = 68,669,239,810.08/320,493.92
  6. Step 6: Final answer
    x = 214,260.67

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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.