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Finding the Fourth Proportional to 547,198.74, 820,442.79 and 227,262.78

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Solution

The fourth proportional to 547,198.74, 820,442.79 and 227,262.78 is: 340,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,198.74 : 820,442.79 = 227,262.78 : x
  2. Step 2: Convert to fraction form
    547,198.74/820,442.79 = 227,262.78/x
  3. Step 3: Cross multiply
    547,198.74x = 820,442.79 × 227,262.78
  4. Step 4: Simplify right side
    547,198.74x = 186,456,109,286.36
  5. Step 5: Solve for x
    x = 186,456,109,286.36/547,198.74
  6. Step 6: Final answer
    x = 340,746.60

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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.