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Finding the Fourth Proportional to 235,205.40, 351,944.10 and 172,997.40

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Solution

The fourth proportional to 235,205.40, 351,944.10 and 172,997.40 is: 258,860.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,205.40 : 351,944.10 = 172,997.40 : x
  2. Step 2: Convert to fraction form
    235,205.40/351,944.10 = 172,997.40/x
  3. Step 3: Cross multiply
    235,205.40x = 351,944.10 × 172,997.40
  4. Step 4: Simplify right side
    235,205.40x = 60,885,414,245.34
  5. Step 5: Solve for x
    x = 60,885,414,245.34/235,205.40
  6. Step 6: Final answer
    x = 258,860.61

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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.