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Finding the Fourth Proportional to 329,617.20, 494,425.80 and 280,628.40

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Solution

The fourth proportional to 329,617.20, 494,425.80 and 280,628.40 is: 420,942.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,617.20 : 494,425.80 = 280,628.40 : x
  2. Step 2: Convert to fraction form
    329,617.20/494,425.80 = 280,628.40/x
  3. Step 3: Cross multiply
    329,617.20x = 494,425.80 × 280,628.40
  4. Step 4: Simplify right side
    329,617.20x = 138,749,921,172.72
  5. Step 5: Solve for x
    x = 138,749,921,172.72/329,617.20
  6. Step 6: Final answer
    x = 420,942.60

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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.