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Finding the Fourth Proportional to 408,912.30, 611,910.45 and 259,224.30

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Solution

The fourth proportional to 408,912.30, 611,910.45 and 259,224.30 is: 387,912.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,912.30 : 611,910.45 = 259,224.30 : x
  2. Step 2: Convert to fraction form
    408,912.30/611,910.45 = 259,224.30/x
  3. Step 3: Cross multiply
    408,912.30x = 611,910.45 × 259,224.30
  4. Step 4: Simplify right side
    408,912.30x = 158,622,058,063.94
  5. Step 5: Solve for x
    x = 158,622,058,063.94/408,912.30
  6. Step 6: Final answer
    x = 387,912.17

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1.5x scale

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.