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Finding the Fourth Proportional to 548,745.89, 827,231.76 and 512,168.31

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Solution

The fourth proportional to 548,745.89, 827,231.76 and 512,168.31 is: 772,091.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,745.89 : 827,231.76 = 512,168.31 : x
  2. Step 2: Convert to fraction form
    548,745.89/827,231.76 = 512,168.31/x
  3. Step 3: Cross multiply
    548,745.89x = 827,231.76 × 512,168.31
  4. Step 4: Simplify right side
    548,745.89x = 423,681,892,497.53
  5. Step 5: Solve for x
    x = 423,681,892,497.53/548,745.89
  6. Step 6: Final answer
    x = 772,091.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.