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Finding the Fourth Proportional to 512,989.16, 769,483.94 and 133,908.84

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Solution

The fourth proportional to 512,989.16, 769,483.94 and 133,908.84 is: 200,863.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,989.16 : 769,483.94 = 133,908.84 : x
  2. Step 2: Convert to fraction form
    512,989.16/769,483.94 = 133,908.84/x
  3. Step 3: Cross multiply
    512,989.16x = 769,483.94 × 133,908.84
  4. Step 4: Simplify right side
    512,989.16x = 103,040,701,134.49
  5. Step 5: Solve for x
    x = 103,040,701,134.49/512,989.16
  6. Step 6: Final answer
    x = 200,863.31

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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.