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Finding the Fourth Proportional to 408,846.56, 613,362.12 and 135,292.07

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Solution

The fourth proportional to 408,846.56, 613,362.12 and 135,292.07 is: 202,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,846.56 : 613,362.12 = 135,292.07 : x
  2. Step 2: Convert to fraction form
    408,846.56/613,362.12 = 135,292.07/x
  3. Step 3: Cross multiply
    408,846.56x = 613,362.12 × 135,292.07
  4. Step 4: Simplify right side
    408,846.56x = 82,983,028,922.72
  5. Step 5: Solve for x
    x = 82,983,028,922.72/408,846.56
  6. Step 6: Final answer
    x = 202,968.64

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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.