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Finding the Fourth Proportional to 408,256.21, 612,398.13 and 142,019.03

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Solution

The fourth proportional to 408,256.21, 612,398.13 and 142,019.03 is: 213,033.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,256.21 : 612,398.13 = 142,019.03 : x
  2. Step 2: Convert to fraction form
    408,256.21/612,398.13 = 142,019.03/x
  3. Step 3: Cross multiply
    408,256.21x = 612,398.13 × 142,019.03
  4. Step 4: Simplify right side
    408,256.21x = 86,972,188,396.41
  5. Step 5: Solve for x
    x = 86,972,188,396.41/408,256.21
  6. Step 6: Final answer
    x = 213,033.35

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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.