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Finding the Fourth Proportional to 509,092.40, 763,640.42 and 172,135.85

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Solution

The fourth proportional to 509,092.40, 763,640.42 and 172,135.85 is: 258,204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,092.40 : 763,640.42 = 172,135.85 : x
  2. Step 2: Convert to fraction form
    509,092.40/763,640.42 = 172,135.85/x
  3. Step 3: Cross multiply
    509,092.40x = 763,640.42 × 172,135.85
  4. Step 4: Simplify right side
    509,092.40x = 131,449,888,112.18
  5. Step 5: Solve for x
    x = 131,449,888,112.18/509,092.40
  6. Step 6: Final answer
    x = 258,204.38

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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.