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Finding the Fourth Proportional to 327,103.40, 490,655.10 and 169,639.40

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Solution

The fourth proportional to 327,103.40, 490,655.10 and 169,639.40 is: 254,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,103.40 : 490,655.10 = 169,639.40 : x
  2. Step 2: Convert to fraction form
    327,103.40/490,655.10 = 169,639.40/x
  3. Step 3: Cross multiply
    327,103.40x = 490,655.10 × 169,639.40
  4. Step 4: Simplify right side
    327,103.40x = 83,234,436,770.94
  5. Step 5: Solve for x
    x = 83,234,436,770.94/327,103.40
  6. Step 6: Final answer
    x = 254,459.10

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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.