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Finding the Fourth Proportional to 298,739.91, 447,891.15 and 140,882.25

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Solution

The fourth proportional to 298,739.91, 447,891.15 and 140,882.25 is: 211,220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,739.91 : 447,891.15 = 140,882.25 : x
  2. Step 2: Convert to fraction form
    298,739.91/447,891.15 = 140,882.25/x
  3. Step 3: Cross multiply
    298,739.91x = 447,891.15 × 140,882.25
  4. Step 4: Simplify right side
    298,739.91x = 63,099,912,967.09
  5. Step 5: Solve for x
    x = 63,099,912,967.09/298,739.91
  6. Step 6: Final answer
    x = 211,220.23

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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.