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Finding the Fourth Proportional to 327,421.34, 491,132.15 and 147,296.37

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Solution

The fourth proportional to 327,421.34, 491,132.15 and 147,296.37 is: 220,944.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,421.34 : 491,132.15 = 147,296.37 : x
  2. Step 2: Convert to fraction form
    327,421.34/491,132.15 = 147,296.37/x
  3. Step 3: Cross multiply
    327,421.34x = 491,132.15 × 147,296.37
  4. Step 4: Simplify right side
    327,421.34x = 72,341,982,148.81
  5. Step 5: Solve for x
    x = 72,341,982,148.81/327,421.34
  6. Step 6: Final answer
    x = 220,944.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.