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Finding the Fourth Proportional to 327,145.92, 490,770.72 and 102,488.64

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Solution

The fourth proportional to 327,145.92, 490,770.72 and 102,488.64 is: 153,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,145.92 : 490,770.72 = 102,488.64 : x
  2. Step 2: Convert to fraction form
    327,145.92/490,770.72 = 102,488.64/x
  3. Step 3: Cross multiply
    327,145.92x = 490,770.72 × 102,488.64
  4. Step 4: Simplify right side
    327,145.92x = 50,298,423,644.62
  5. Step 5: Solve for x
    x = 50,298,423,644.62/327,145.92
  6. Step 6: Final answer
    x = 153,749.20

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Why These Related Problems?

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