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Finding the Fourth Proportional to 320,793.82, 442,620.25 and 219,031.19

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Solution

The fourth proportional to 320,793.82, 442,620.25 and 219,031.19 is: 302,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,793.82 : 442,620.25 = 219,031.19 : x
  2. Step 2: Convert to fraction form
    320,793.82/442,620.25 = 219,031.19/x
  3. Step 3: Cross multiply
    320,793.82x = 442,620.25 × 219,031.19
  4. Step 4: Simplify right side
    320,793.82x = 96,947,638,974.74
  5. Step 5: Solve for x
    x = 96,947,638,974.74/320,793.82
  6. Step 6: Final answer
    x = 302,211.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.