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Finding the Fourth Proportional to 285,790.56, 428,668.56 and 127,976.64

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Solution

The fourth proportional to 285,790.56, 428,668.56 and 127,976.64 is: 191,957.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,790.56 : 428,668.56 = 127,976.64 : x
  2. Step 2: Convert to fraction form
    285,790.56/428,668.56 = 127,976.64/x
  3. Step 3: Cross multiply
    285,790.56x = 428,668.56 × 127,976.64
  4. Step 4: Simplify right side
    285,790.56x = 54,859,561,982.44
  5. Step 5: Solve for x
    x = 54,859,561,982.44/285,790.56
  6. Step 6: Final answer
    x = 191,957.22

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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.