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Finding the Fourth Proportional to 397,157.82, 595,902.86 and 172,707.09

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Solution

The fourth proportional to 397,157.82, 595,902.86 and 172,707.09 is: 259,132.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,157.82 : 595,902.86 = 172,707.09 : x
  2. Step 2: Convert to fraction form
    397,157.82/595,902.86 = 172,707.09/x
  3. Step 3: Cross multiply
    397,157.82x = 595,902.86 × 172,707.09
  4. Step 4: Simplify right side
    397,157.82x = 102,916,646,422.76
  5. Step 5: Solve for x
    x = 102,916,646,422.76/397,157.82
  6. Step 6: Final answer
    x = 259,132.87

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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.