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Finding the Fourth Proportional to 329,864.20, 494,140.20 and 306,244.60

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Solution

The fourth proportional to 329,864.20, 494,140.20 and 306,244.60 is: 458,757.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,864.20 : 494,140.20 = 306,244.60 : x
  2. Step 2: Convert to fraction form
    329,864.20/494,140.20 = 306,244.60/x
  3. Step 3: Cross multiply
    329,864.20x = 494,140.20 × 306,244.60
  4. Step 4: Simplify right side
    329,864.20x = 151,327,767,892.92
  5. Step 5: Solve for x
    x = 151,327,767,892.92/329,864.20
  6. Step 6: Final answer
    x = 458,757.78

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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.