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Finding the Fourth Proportional to 408,785.94, 613,003.95 and 142,467.66

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Solution

The fourth proportional to 408,785.94, 613,003.95 and 142,467.66 is: 213,640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,785.94 : 613,003.95 = 142,467.66 : x
  2. Step 2: Convert to fraction form
    408,785.94/613,003.95 = 142,467.66/x
  3. Step 3: Cross multiply
    408,785.94x = 613,003.95 × 142,467.66
  4. Step 4: Simplify right side
    408,785.94x = 87,333,238,327.26
  5. Step 5: Solve for x
    x = 87,333,238,327.26/408,785.94
  6. Step 6: Final answer
    x = 213,640.51

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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.