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Finding the Fourth Proportional to 408,888.98, 564,262.61 and 225,121.75

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Solution

The fourth proportional to 408,888.98, 564,262.61 and 225,121.75 is: 310,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,888.98 : 564,262.61 = 225,121.75 : x
  2. Step 2: Convert to fraction form
    408,888.98/564,262.61 = 225,121.75/x
  3. Step 3: Cross multiply
    408,888.98x = 564,262.61 × 225,121.75
  4. Step 4: Simplify right side
    408,888.98x = 127,027,783,686.50
  5. Step 5: Solve for x
    x = 127,027,783,686.50/408,888.98
  6. Step 6: Final answer
    x = 310,665.71

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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.