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Finding the Fourth Proportional to 517,091.13, 775,640.15 and 180,138.15

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Solution

The fourth proportional to 517,091.13, 775,640.15 and 180,138.15 is: 270,208.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,091.13 : 775,640.15 = 180,138.15 : x
  2. Step 2: Convert to fraction form
    517,091.13/775,640.15 = 180,138.15/x
  3. Step 3: Cross multiply
    517,091.13x = 775,640.15 × 180,138.15
  4. Step 4: Simplify right side
    517,091.13x = 139,722,380,786.03
  5. Step 5: Solve for x
    x = 139,722,380,786.03/517,091.13
  6. Step 6: Final answer
    x = 270,208.43

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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.