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Finding the Fourth Proportional to 512,979.82, 769,469.76 and 139,002.82

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Solution

The fourth proportional to 512,979.82, 769,469.76 and 139,002.82 is: 208,504.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,979.82 : 769,469.76 = 139,002.82 : x
  2. Step 2: Convert to fraction form
    512,979.82/769,469.76 = 139,002.82/x
  3. Step 3: Cross multiply
    512,979.82x = 769,469.76 × 139,002.82
  4. Step 4: Simplify right side
    512,979.82x = 106,958,466,544.72
  5. Step 5: Solve for x
    x = 106,958,466,544.72/512,979.82
  6. Step 6: Final answer
    x = 208,504.24

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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.