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Finding the Fourth Proportional to 408,797.36, 613,278.06 and 142,486.38

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Solution

The fourth proportional to 408,797.36, 613,278.06 and 142,486.38 is: 213,758.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,797.36 : 613,278.06 = 142,486.38 : x
  2. Step 2: Convert to fraction form
    408,797.36/613,278.06 = 142,486.38/x
  3. Step 3: Cross multiply
    408,797.36x = 613,278.06 × 142,486.38
  4. Step 4: Simplify right side
    408,797.36x = 87,383,770,702.82
  5. Step 5: Solve for x
    x = 87,383,770,702.82/408,797.36
  6. Step 6: Final answer
    x = 213,758.16

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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.