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Finding the Fourth Proportional to 206,438.50, 284,885.60 and 120,456.60

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Solution

The fourth proportional to 206,438.50, 284,885.60 and 120,456.60 is: 166,230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,438.50 : 284,885.60 = 120,456.60 : x
  2. Step 2: Convert to fraction form
    206,438.50/284,885.60 = 120,456.60/x
  3. Step 3: Cross multiply
    206,438.50x = 284,885.60 × 120,456.60
  4. Step 4: Simplify right side
    206,438.50x = 34,316,350,764.96
  5. Step 5: Solve for x
    x = 34,316,350,764.96/206,438.50
  6. Step 6: Final answer
    x = 166,230.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.