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Finding the Fourth Proportional to 321,779.70, 444,057.93 and 178,542.54

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Solution

The fourth proportional to 321,779.70, 444,057.93 and 178,542.54 is: 246,389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,779.70 : 444,057.93 = 178,542.54 : x
  2. Step 2: Convert to fraction form
    321,779.70/444,057.93 = 178,542.54/x
  3. Step 3: Cross multiply
    321,779.70x = 444,057.93 × 178,542.54
  4. Step 4: Simplify right side
    321,779.70x = 79,283,230,729.34
  5. Step 5: Solve for x
    x = 79,283,230,729.34/321,779.70
  6. Step 6: Final answer
    x = 246,389.78

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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.