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Finding the Fourth Proportional to 396,995.87, 595,159.01 and 172,186.98

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Solution

The fourth proportional to 396,995.87, 595,159.01 and 172,186.98 is: 258,135.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,995.87 : 595,159.01 = 172,186.98 : x
  2. Step 2: Convert to fraction form
    396,995.87/595,159.01 = 172,186.98/x
  3. Step 3: Cross multiply
    396,995.87x = 595,159.01 × 172,186.98
  4. Step 4: Simplify right side
    396,995.87x = 102,478,632,551.69
  5. Step 5: Solve for x
    x = 102,478,632,551.69/396,995.87
  6. Step 6: Final answer
    x = 258,135.26

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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.