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Finding the Fourth Proportional to 343,718.20, 515,765.22 and 133,364.44

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Solution

The fourth proportional to 343,718.20, 515,765.22 and 133,364.44 is: 200,119.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,718.20 : 515,765.22 = 133,364.44 : x
  2. Step 2: Convert to fraction form
    343,718.20/515,765.22 = 133,364.44/x
  3. Step 3: Cross multiply
    343,718.20x = 515,765.22 × 133,364.44
  4. Step 4: Simplify right side
    343,718.20x = 68,784,739,736.78
  5. Step 5: Solve for x
    x = 68,784,739,736.78/343,718.20
  6. Step 6: Final answer
    x = 200,119.57

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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.