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Finding the Fourth Proportional to 272,499.40, 408,165.90 and 225,843.40

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Solution

The fourth proportional to 272,499.40, 408,165.90 and 225,843.40 is: 338,281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,499.40 : 408,165.90 = 225,843.40 : x
  2. Step 2: Convert to fraction form
    272,499.40/408,165.90 = 225,843.40/x
  3. Step 3: Cross multiply
    272,499.40x = 408,165.90 × 225,843.40
  4. Step 4: Simplify right side
    272,499.40x = 92,181,574,620.06
  5. Step 5: Solve for x
    x = 92,181,574,620.06/272,499.40
  6. Step 6: Final answer
    x = 338,281.75

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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.