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Finding the Fourth Proportional to 329,059.20, 493,286.40 and 328,857.60

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Solution

The fourth proportional to 329,059.20, 493,286.40 and 328,857.60 is: 492,984.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,059.20 : 493,286.40 = 328,857.60 : x
  2. Step 2: Convert to fraction form
    329,059.20/493,286.40 = 328,857.60/x
  3. Step 3: Cross multiply
    329,059.20x = 493,286.40 × 328,857.60
  4. Step 4: Simplify right side
    329,059.20x = 162,220,981,616.64
  5. Step 5: Solve for x
    x = 162,220,981,616.64/329,059.20
  6. Step 6: Final answer
    x = 492,984.19

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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.