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Finding the Fourth Proportional to 217,081.54, 299,608.50 and 149,042.80

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Solution

The fourth proportional to 217,081.54, 299,608.50 and 149,042.80 is: 205,703.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,081.54 : 299,608.50 = 149,042.80 : x
  2. Step 2: Convert to fraction form
    217,081.54/299,608.50 = 149,042.80/x
  3. Step 3: Cross multiply
    217,081.54x = 299,608.50 × 149,042.80
  4. Step 4: Simplify right side
    217,081.54x = 44,654,489,743.80
  5. Step 5: Solve for x
    x = 44,654,489,743.80/217,081.54
  6. Step 6: Final answer
    x = 205,703.76

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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.