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Finding the Fourth Proportional to 329,212.80, 493,805.52 and 139,620.96

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Solution

The fourth proportional to 329,212.80, 493,805.52 and 139,620.96 is: 209,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,212.80 : 493,805.52 = 139,620.96 : x
  2. Step 2: Convert to fraction form
    329,212.80/493,805.52 = 139,620.96/x
  3. Step 3: Cross multiply
    329,212.80x = 493,805.52 × 139,620.96
  4. Step 4: Simplify right side
    329,212.80x = 68,945,600,755.70
  5. Step 5: Solve for x
    x = 68,945,600,755.70/329,212.80
  6. Step 6: Final answer
    x = 209,425.64

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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.