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Finding the Fourth Proportional to 408,855.50, 564,225.94 and 225,115.44

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Solution

The fourth proportional to 408,855.50, 564,225.94 and 225,115.44 is: 310,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,855.50 : 564,225.94 = 225,115.44 : x
  2. Step 2: Convert to fraction form
    408,855.50/564,225.94 = 225,115.44/x
  3. Step 3: Cross multiply
    408,855.50x = 564,225.94 × 225,115.44
  4. Step 4: Simplify right side
    408,855.50x = 127,015,970,742.51
  5. Step 5: Solve for x
    x = 127,015,970,742.51/408,855.50
  6. Step 6: Final answer
    x = 310,662.25

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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.