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Finding the Fourth Proportional to 397,013.57, 595,185.52 and 172,204.74

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Solution

The fourth proportional to 397,013.57, 595,185.52 and 172,204.74 is: 258,161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,013.57 : 595,185.52 = 172,204.74 : x
  2. Step 2: Convert to fraction form
    397,013.57/595,185.52 = 172,204.74/x
  3. Step 3: Cross multiply
    397,013.57x = 595,185.52 × 172,204.74
  4. Step 4: Simplify right side
    397,013.57x = 102,493,768,034.22
  5. Step 5: Solve for x
    x = 102,493,768,034.22/397,013.57
  6. Step 6: Final answer
    x = 258,161.88

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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.