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Finding the Fourth Proportional to 340,524.26, 509,977.17 and 171,512.90

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Solution

The fourth proportional to 340,524.26, 509,977.17 and 171,512.90 is: 256,861.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,524.26 : 509,977.17 = 171,512.90 : x
  2. Step 2: Convert to fraction form
    340,524.26/509,977.17 = 171,512.90/x
  3. Step 3: Cross multiply
    340,524.26x = 509,977.17 × 171,512.90
  4. Step 4: Simplify right side
    340,524.26x = 87,467,660,810.61
  5. Step 5: Solve for x
    x = 87,467,660,810.61/340,524.26
  6. Step 6: Final answer
    x = 256,861.76

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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.