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Finding the Fourth Proportional to 397,168.56, 595,418.22 and 172,359.72

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Solution

The fourth proportional to 397,168.56, 595,418.22 and 172,359.72 is: 258,394.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,168.56 : 595,418.22 = 172,359.72 : x
  2. Step 2: Convert to fraction form
    397,168.56/595,418.22 = 172,359.72/x
  3. Step 3: Cross multiply
    397,168.56x = 595,418.22 × 172,359.72
  4. Step 4: Simplify right side
    397,168.56x = 102,626,117,682.10
  5. Step 5: Solve for x
    x = 102,626,117,682.10/397,168.56
  6. Step 6: Final answer
    x = 258,394.36

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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.