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Finding the Fourth Proportional to 397,010.80, 595,181.42 and 172,201.98

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Solution

The fourth proportional to 397,010.80, 595,181.42 and 172,201.98 is: 258,157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,010.80 : 595,181.42 = 172,201.98 : x
  2. Step 2: Convert to fraction form
    397,010.80/595,181.42 = 172,201.98/x
  3. Step 3: Cross multiply
    397,010.80x = 595,181.42 × 172,201.98
  4. Step 4: Simplify right side
    397,010.80x = 102,491,418,983.21
  5. Step 5: Solve for x
    x = 102,491,418,983.21/397,010.80
  6. Step 6: Final answer
    x = 258,157.76

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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.