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Finding the Fourth Proportional to 514,791.21, 771,727.54 and 261,930.27

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Solution

The fourth proportional to 514,791.21, 771,727.54 and 261,930.27 is: 392,661.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,791.21 : 771,727.54 = 261,930.27 : x
  2. Step 2: Convert to fraction form
    514,791.21/771,727.54 = 261,930.27/x
  3. Step 3: Cross multiply
    514,791.21x = 771,727.54 × 261,930.27
  4. Step 4: Simplify right side
    514,791.21x = 202,138,802,918.64
  5. Step 5: Solve for x
    x = 202,138,802,918.64/514,791.21
  6. Step 6: Final answer
    x = 392,661.72

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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.