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Finding the Fourth Proportional to 343,400.60, 514,736.40 and 165,791.90

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Solution

The fourth proportional to 343,400.60, 514,736.40 and 165,791.90 is: 248,511.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,400.60 : 514,736.40 = 165,791.90 : x
  2. Step 2: Convert to fraction form
    343,400.60/514,736.40 = 165,791.90/x
  3. Step 3: Cross multiply
    343,400.60x = 514,736.40 × 165,791.90
  4. Step 4: Simplify right side
    343,400.60x = 85,339,125,755.16
  5. Step 5: Solve for x
    x = 85,339,125,755.16/343,400.60
  6. Step 6: Final answer
    x = 248,511.87

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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.