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Finding the Fourth Proportional to 321,355.05, 443,483.96 and 178,115.20

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Solution

The fourth proportional to 321,355.05, 443,483.96 and 178,115.20 is: 245,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,355.05 : 443,483.96 = 178,115.20 : x
  2. Step 2: Convert to fraction form
    321,355.05/443,483.96 = 178,115.20/x
  3. Step 3: Cross multiply
    321,355.05x = 443,483.96 × 178,115.20
  4. Step 4: Simplify right side
    321,355.05x = 78,991,235,729.40
  5. Step 5: Solve for x
    x = 78,991,235,729.40/321,355.05
  6. Step 6: Final answer
    x = 245,806.74

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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.