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Finding the Fourth Proportional to 344,198.40, 516,297.60 and 91,478.40

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Solution

The fourth proportional to 344,198.40, 516,297.60 and 91,478.40 is: 137,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,198.40 : 516,297.60 = 91,478.40 : x
  2. Step 2: Convert to fraction form
    344,198.40/516,297.60 = 91,478.40/x
  3. Step 3: Cross multiply
    344,198.40x = 516,297.60 × 91,478.40
  4. Step 4: Simplify right side
    344,198.40x = 47,230,078,371.84
  5. Step 5: Solve for x
    x = 47,230,078,371.84/344,198.40
  6. Step 6: Final answer
    x = 137,217.60

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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.