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Finding the Fourth Proportional to 397,006.57, 595,174.95 and 172,197.65

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Solution

The fourth proportional to 397,006.57, 595,174.95 and 172,197.65 is: 258,151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,006.57 : 595,174.95 = 172,197.65 : x
  2. Step 2: Convert to fraction form
    397,006.57/595,174.95 = 172,197.65/x
  3. Step 3: Cross multiply
    397,006.57x = 595,174.95 × 172,197.65
  4. Step 4: Simplify right side
    397,006.57x = 102,487,723,892.01
  5. Step 5: Solve for x
    x = 102,487,723,892.01/397,006.57
  6. Step 6: Final answer
    x = 258,151.21

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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.