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Finding the Fourth Proportional to 329,709.60, 494,564.40 and 327,376.80

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Solution

The fourth proportional to 329,709.60, 494,564.40 and 327,376.80 is: 491,065.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,709.60 : 494,564.40 = 327,376.80 : x
  2. Step 2: Convert to fraction form
    329,709.60/494,564.40 = 327,376.80/x
  3. Step 3: Cross multiply
    329,709.60x = 494,564.40 × 327,376.80
  4. Step 4: Simplify right side
    329,709.60x = 161,908,910,665.92
  5. Step 5: Solve for x
    x = 161,908,910,665.92/329,709.60
  6. Step 6: Final answer
    x = 491,065.20

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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.