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Finding the Fourth Proportional to 298,379.28, 411,772.07 and 162,422

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Solution

The fourth proportional to 298,379.28, 411,772.07 and 162,422 is: 224,147.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,379.28 : 411,772.07 = 162,422 : x
  2. Step 2: Convert to fraction form
    298,379.28/411,772.07 = 162,422/x
  3. Step 3: Cross multiply
    298,379.28x = 411,772.07 × 162,422
  4. Step 4: Simplify right side
    298,379.28x = 66,880,843,153.54
  5. Step 5: Solve for x
    x = 66,880,843,153.54/298,379.28
  6. Step 6: Final answer
    x = 224,147.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.