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Finding the Fourth Proportional to 397,003.58, 595,170.60 and 172,194.70

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Solution

The fourth proportional to 397,003.58, 595,170.60 and 172,194.70 is: 258,146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,003.58 : 595,170.60 = 172,194.70 : x
  2. Step 2: Convert to fraction form
    397,003.58/595,170.60 = 172,194.70/x
  3. Step 3: Cross multiply
    397,003.58x = 595,170.60 × 172,194.70
  4. Step 4: Simplify right side
    397,003.58x = 102,485,219,078.99
  5. Step 5: Solve for x
    x = 102,485,219,078.99/397,003.58
  6. Step 6: Final answer
    x = 258,146.84

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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.