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Finding the Fourth Proportional to 512,810.36, 769,216.08 and 133,730.76

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Solution

The fourth proportional to 512,810.36, 769,216.08 and 133,730.76 is: 200,596.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,810.36 : 769,216.08 = 133,730.76 : x
  2. Step 2: Convert to fraction form
    512,810.36/769,216.08 = 133,730.76/x
  3. Step 3: Cross multiply
    512,810.36x = 769,216.08 × 133,730.76
  4. Step 4: Simplify right side
    512,810.36x = 102,867,850,982.62
  5. Step 5: Solve for x
    x = 102,867,850,982.62/512,810.36
  6. Step 6: Final answer
    x = 200,596.28

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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.