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Finding the Fourth Proportional to 343,843.70, 515,877.60 and 172,977.23

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Solution

The fourth proportional to 343,843.70, 515,877.60 and 172,977.23 is: 259,522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,843.70 : 515,877.60 = 172,977.23 : x
  2. Step 2: Convert to fraction form
    343,843.70/515,877.60 = 172,977.23/x
  3. Step 3: Cross multiply
    343,843.70x = 515,877.60 × 172,977.23
  4. Step 4: Simplify right side
    343,843.70x = 89,235,078,267.05
  5. Step 5: Solve for x
    x = 89,235,078,267.05/343,843.70
  6. Step 6: Final answer
    x = 259,522.21

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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.