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Finding the Fourth Proportional to 343,843.83, 515,772.11 and 119,211.58

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Solution

The fourth proportional to 343,843.83, 515,772.11 and 119,211.58 is: 178,819.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,843.83 : 515,772.11 = 119,211.58 : x
  2. Step 2: Convert to fraction form
    343,843.83/515,772.11 = 119,211.58/x
  3. Step 3: Cross multiply
    343,843.83x = 515,772.11 × 119,211.58
  4. Step 4: Simplify right side
    343,843.83x = 61,486,008,153.03
  5. Step 5: Solve for x
    x = 61,486,008,153.03/343,843.83
  6. Step 6: Final answer
    x = 178,819.58

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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.