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Finding the Fourth Proportional to 298,335.25, 447,453.93 and 82,143.55

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Solution

The fourth proportional to 298,335.25, 447,453.93 and 82,143.55 is: 123,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,335.25 : 447,453.93 = 82,143.55 : x
  2. Step 2: Convert to fraction form
    298,335.25/447,453.93 = 82,143.55/x
  3. Step 3: Cross multiply
    298,335.25x = 447,453.93 × 82,143.55
  4. Step 4: Simplify right side
    298,335.25x = 36,755,454,271.65
  5. Step 5: Solve for x
    x = 36,755,454,271.65/298,335.25
  6. Step 6: Final answer
    x = 123,201.85

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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.