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Finding the Fourth Proportional to 329,425.80, 494,138.70 and 196,456.20

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Solution

The fourth proportional to 329,425.80, 494,138.70 and 196,456.20 is: 294,684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,425.80 : 494,138.70 = 196,456.20 : x
  2. Step 2: Convert to fraction form
    329,425.80/494,138.70 = 196,456.20/x
  3. Step 3: Cross multiply
    329,425.80x = 494,138.70 × 196,456.20
  4. Step 4: Simplify right side
    329,425.80x = 97,076,611,274.94
  5. Step 5: Solve for x
    x = 97,076,611,274.94/329,425.80
  6. Step 6: Final answer
    x = 294,684.30

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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.