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Finding the Fourth Proportional to 321,783.70, 444,063.45 and 178,546.54

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Solution

The fourth proportional to 321,783.70, 444,063.45 and 178,546.54 is: 246,395.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,783.70 : 444,063.45 = 178,546.54 : x
  2. Step 2: Convert to fraction form
    321,783.70/444,063.45 = 178,546.54/x
  3. Step 3: Cross multiply
    321,783.70x = 444,063.45 × 178,546.54
  4. Step 4: Simplify right side
    321,783.70x = 79,285,992,537.96
  5. Step 5: Solve for x
    x = 79,285,992,537.96/321,783.70
  6. Step 6: Final answer
    x = 246,395.30

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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.