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Finding the Fourth Proportional to 206,601.80, 309,902.70 and 177,077.30

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Solution

The fourth proportional to 206,601.80, 309,902.70 and 177,077.30 is: 265,615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,601.80 : 309,902.70 = 177,077.30 : x
  2. Step 2: Convert to fraction form
    206,601.80/309,902.70 = 177,077.30/x
  3. Step 3: Cross multiply
    206,601.80x = 309,902.70 × 177,077.30
  4. Step 4: Simplify right side
    206,601.80x = 54,876,733,378.71
  5. Step 5: Solve for x
    x = 54,876,733,378.71/206,601.80
  6. Step 6: Final answer
    x = 265,615.95

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1.5x scale

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.