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Finding the Fourth Proportional to 408,272.33, 612,422.26 and 142,035.05

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Solution

The fourth proportional to 408,272.33, 612,422.26 and 142,035.05 is: 213,057.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,272.33 : 612,422.26 = 142,035.05 : x
  2. Step 2: Convert to fraction form
    408,272.33/612,422.26 = 142,035.05/x
  3. Step 3: Cross multiply
    408,272.33x = 612,422.26 × 142,035.05
  4. Step 4: Simplify right side
    408,272.33x = 86,985,426,320.21
  5. Step 5: Solve for x
    x = 86,985,426,320.21/408,272.33
  6. Step 6: Final answer
    x = 213,057.36

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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.