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Finding the Fourth Proportional to 565,791.72, 780,768.81 and 320,792.97

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Solution

The fourth proportional to 565,791.72, 780,768.81 and 320,792.97 is: 442,680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,791.72 : 780,768.81 = 320,792.97 : x
  2. Step 2: Convert to fraction form
    565,791.72/780,768.81 = 320,792.97/x
  3. Step 3: Cross multiply
    565,791.72x = 780,768.81 × 320,792.97
  4. Step 4: Simplify right side
    565,791.72x = 250,465,145,443.27
  5. Step 5: Solve for x
    x = 250,465,145,443.27/565,791.72
  6. Step 6: Final answer
    x = 442,680.83

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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.