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Finding the Fourth Proportional to 397,310.20, 595,952 and 172,670.64

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Solution

The fourth proportional to 397,310.20, 595,952 and 172,670.64 is: 259,000.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,310.20 : 595,952 = 172,670.64 : x
  2. Step 2: Convert to fraction form
    397,310.20/595,952 = 172,670.64/x
  3. Step 3: Cross multiply
    397,310.20x = 595,952 × 172,670.64
  4. Step 4: Simplify right side
    397,310.20x = 102,903,413,249.28
  5. Step 5: Solve for x
    x = 102,903,413,249.28/397,310.20
  6. Step 6: Final answer
    x = 259,000.18

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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.