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Finding the Fourth Proportional to 285,513.88, 428,137.86 and 127,743.64

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Solution

The fourth proportional to 285,513.88, 428,137.86 and 127,743.64 is: 191,555.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,513.88 : 428,137.86 = 127,743.64 : x
  2. Step 2: Convert to fraction form
    285,513.88/428,137.86 = 127,743.64/x
  3. Step 3: Cross multiply
    285,513.88x = 428,137.86 × 127,743.64
  4. Step 4: Simplify right side
    285,513.88x = 54,691,888,658.21
  5. Step 5: Solve for x
    x = 54,691,888,658.21/285,513.88
  6. Step 6: Final answer
    x = 191,555.97

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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.