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Finding the Fourth Proportional to 397,024.48, 595,201.78 and 172,215.66

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Solution

The fourth proportional to 397,024.48, 595,201.78 and 172,215.66 is: 258,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,024.48 : 595,201.78 = 172,215.66 : x
  2. Step 2: Convert to fraction form
    397,024.48/595,201.78 = 172,215.66/x
  3. Step 3: Cross multiply
    397,024.48x = 595,201.78 × 172,215.66
  4. Step 4: Simplify right side
    397,024.48x = 102,503,067,375.88
  5. Step 5: Solve for x
    x = 102,503,067,375.88/397,024.48
  6. Step 6: Final answer
    x = 258,178.20

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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.