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Finding the Fourth Proportional to 408,255.21, 612,396.63 and 142,018.03

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Solution

The fourth proportional to 408,255.21, 612,396.63 and 142,018.03 is: 213,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,255.21 : 612,396.63 = 142,018.03 : x
  2. Step 2: Convert to fraction form
    408,255.21/612,396.63 = 142,018.03/x
  3. Step 3: Cross multiply
    408,255.21x = 612,396.63 × 142,018.03
  4. Step 4: Simplify right side
    408,255.21x = 86,971,362,971.24
  5. Step 5: Solve for x
    x = 86,971,362,971.24/408,255.21
  6. Step 6: Final answer
    x = 213,031.85

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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.