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Finding the Fourth Proportional to 409,490.72, 565,072.33 and 225,721.24

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Solution

The fourth proportional to 409,490.72, 565,072.33 and 225,721.24 is: 311,481.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,490.72 : 565,072.33 = 225,721.24 : x
  2. Step 2: Convert to fraction form
    409,490.72/565,072.33 = 225,721.24/x
  3. Step 3: Cross multiply
    409,490.72x = 565,072.33 × 225,721.24
  4. Step 4: Simplify right side
    409,490.72x = 127,548,826,310.95
  5. Step 5: Solve for x
    x = 127,548,826,310.95/409,490.72
  6. Step 6: Final answer
    x = 311,481.60

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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.