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Finding the Fourth Proportional to 397,137.70, 595,812.15 and 172,401.70

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Solution

The fourth proportional to 397,137.70, 595,812.15 and 172,401.70 is: 258,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,137.70 : 595,812.15 = 172,401.70 : x
  2. Step 2: Convert to fraction form
    397,137.70/595,812.15 = 172,401.70/x
  3. Step 3: Cross multiply
    397,137.70x = 595,812.15 × 172,401.70
  4. Step 4: Simplify right side
    397,137.70x = 102,719,027,540.66
  5. Step 5: Solve for x
    x = 102,719,027,540.66/397,137.70
  6. Step 6: Final answer
    x = 258,648.39

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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.