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Finding the Fourth Proportional to 516,512, 774,324.27 and 179,508.87

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Solution

The fourth proportional to 516,512, 774,324.27 and 179,508.87 is: 269,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,512 : 774,324.27 = 179,508.87 : x
  2. Step 2: Convert to fraction form
    516,512/774,324.27 = 179,508.87/x
  3. Step 3: Cross multiply
    516,512x = 774,324.27 × 179,508.87
  4. Step 4: Simplify right side
    516,512x = 138,998,074,721.28
  5. Step 5: Solve for x
    x = 138,998,074,721.28/516,512
  6. Step 6: Final answer
    x = 269,109.09

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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.