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Finding the Fourth Proportional to 285,791.24, 428,378.40 and 125,724.71

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Solution

The fourth proportional to 285,791.24, 428,378.40 and 125,724.71 is: 188,451.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,791.24 : 428,378.40 = 125,724.71 : x
  2. Step 2: Convert to fraction form
    285,791.24/428,378.40 = 125,724.71/x
  3. Step 3: Cross multiply
    285,791.24x = 428,378.40 × 125,724.71
  4. Step 4: Simplify right side
    285,791.24x = 53,857,748,417.98
  5. Step 5: Solve for x
    x = 53,857,748,417.98/285,791.24
  6. Step 6: Final answer
    x = 188,451.36

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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.