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Finding the Fourth Proportional to 298,999.20, 447,721.20 and 193,245.60

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Solution

The fourth proportional to 298,999.20, 447,721.20 and 193,245.60 is: 289,365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,999.20 : 447,721.20 = 193,245.60 : x
  2. Step 2: Convert to fraction form
    298,999.20/447,721.20 = 193,245.60/x
  3. Step 3: Cross multiply
    298,999.20x = 447,721.20 × 193,245.60
  4. Step 4: Simplify right side
    298,999.20x = 86,520,151,926.72
  5. Step 5: Solve for x
    x = 86,520,151,926.72/298,999.20
  6. Step 6: Final answer
    x = 289,365.83

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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.