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Finding the Fourth Proportional to 206,576.40, 310,520.70 and 194,766.60

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Solution

The fourth proportional to 206,576.40, 310,520.70 and 194,766.60 is: 292,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,576.40 : 310,520.70 = 194,766.60 : x
  2. Step 2: Convert to fraction form
    206,576.40/310,520.70 = 194,766.60/x
  3. Step 3: Cross multiply
    206,576.40x = 310,520.70 × 194,766.60
  4. Step 4: Simplify right side
    206,576.40x = 60,479,060,968.62
  5. Step 5: Solve for x
    x = 60,479,060,968.62/206,576.40
  6. Step 6: Final answer
    x = 292,768.49

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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.