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Finding the Fourth Proportional to 408,720.80, 613,100.40 and 128,247.20

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Solution

The fourth proportional to 408,720.80, 613,100.40 and 128,247.20 is: 192,376.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,720.80 : 613,100.40 = 128,247.20 : x
  2. Step 2: Convert to fraction form
    408,720.80/613,100.40 = 128,247.20/x
  3. Step 3: Cross multiply
    408,720.80x = 613,100.40 × 128,247.20
  4. Step 4: Simplify right side
    408,720.80x = 78,628,409,618.88
  5. Step 5: Solve for x
    x = 78,628,409,618.88/408,720.80
  6. Step 6: Final answer
    x = 192,376.82

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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.