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Finding the Fourth Proportional to 342,214.80, 513,322.20 and 200,497.20

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Solution

The fourth proportional to 342,214.80, 513,322.20 and 200,497.20 is: 300,745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,214.80 : 513,322.20 = 200,497.20 : x
  2. Step 2: Convert to fraction form
    342,214.80/513,322.20 = 200,497.20/x
  3. Step 3: Cross multiply
    342,214.80x = 513,322.20 × 200,497.20
  4. Step 4: Simplify right side
    342,214.80x = 102,919,663,797.84
  5. Step 5: Solve for x
    x = 102,919,663,797.84/342,214.80
  6. Step 6: Final answer
    x = 300,745.80

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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.