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Finding the Fourth Proportional to 321,780.70, 444,059.31 and 178,543.54

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Solution

The fourth proportional to 321,780.70, 444,059.31 and 178,543.54 is: 246,391.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,780.70 : 444,059.31 = 178,543.54 : x
  2. Step 2: Convert to fraction form
    321,780.70/444,059.31 = 178,543.54/x
  3. Step 3: Cross multiply
    321,780.70x = 444,059.31 × 178,543.54
  4. Step 4: Simplify right side
    321,780.70x = 79,283,921,177.36
  5. Step 5: Solve for x
    x = 79,283,921,177.36/321,780.70
  6. Step 6: Final answer
    x = 246,391.16

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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.