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Finding the Fourth Proportional to 512,801.06, 769,202.15 and 133,721.46

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Solution

The fourth proportional to 512,801.06, 769,202.15 and 133,721.46 is: 200,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,801.06 : 769,202.15 = 133,721.46 : x
  2. Step 2: Convert to fraction form
    512,801.06/769,202.15 = 133,721.46/x
  3. Step 3: Cross multiply
    512,801.06x = 769,202.15 × 133,721.46
  4. Step 4: Simplify right side
    512,801.06x = 102,858,833,864.53
  5. Step 5: Solve for x
    x = 102,858,833,864.53/512,801.06
  6. Step 6: Final answer
    x = 200,582.34

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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.