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Finding the Fourth Proportional to 329,564.40, 494,346.60 and 298,071.60

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Solution

The fourth proportional to 329,564.40, 494,346.60 and 298,071.60 is: 447,107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,564.40 : 494,346.60 = 298,071.60 : x
  2. Step 2: Convert to fraction form
    329,564.40/494,346.60 = 298,071.60/x
  3. Step 3: Cross multiply
    329,564.40x = 494,346.60 × 298,071.60
  4. Step 4: Simplify right side
    329,564.40x = 147,350,682,016.56
  5. Step 5: Solve for x
    x = 147,350,682,016.56/329,564.40
  6. Step 6: Final answer
    x = 447,107.40

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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.