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Finding the Fourth Proportional to 298,334.25, 447,452.43 and 82,142.55

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Solution

The fourth proportional to 298,334.25, 447,452.43 and 82,142.55 is: 123,200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,334.25 : 447,452.43 = 82,142.55 : x
  2. Step 2: Convert to fraction form
    298,334.25/447,452.43 = 82,142.55/x
  3. Step 3: Cross multiply
    298,334.25x = 447,452.43 × 82,142.55
  4. Step 4: Simplify right side
    298,334.25x = 36,754,883,603.90
  5. Step 5: Solve for x
    x = 36,754,883,603.90/298,334.25
  6. Step 6: Final answer
    x = 123,200.35

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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.