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Finding the Fourth Proportional to 512,910, 769,251.61 and 148,092.34

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Solution

The fourth proportional to 512,910, 769,251.61 and 148,092.34 is: 222,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,910 : 769,251.61 = 148,092.34 : x
  2. Step 2: Convert to fraction form
    512,910/769,251.61 = 148,092.34/x
  3. Step 3: Cross multiply
    512,910x = 769,251.61 × 148,092.34
  4. Step 4: Simplify right side
    512,910x = 113,920,270,973.67
  5. Step 5: Solve for x
    x = 113,920,270,973.67/512,910
  6. Step 6: Final answer
    x = 222,105.77

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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.