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Finding the Fourth Proportional to 298,243.20, 447,364.80 and 101,251.20

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Solution

The fourth proportional to 298,243.20, 447,364.80 and 101,251.20 is: 151,876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,243.20 : 447,364.80 = 101,251.20 : x
  2. Step 2: Convert to fraction form
    298,243.20/447,364.80 = 101,251.20/x
  3. Step 3: Cross multiply
    298,243.20x = 447,364.80 × 101,251.20
  4. Step 4: Simplify right side
    298,243.20x = 45,296,222,837.76
  5. Step 5: Solve for x
    x = 45,296,222,837.76/298,243.20
  6. Step 6: Final answer
    x = 151,876.80

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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.