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Finding the Fourth Proportional to 408,276.44, 612,480.36 and 142,112.60

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Solution

The fourth proportional to 408,276.44, 612,480.36 and 142,112.60 is: 213,191.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,276.44 : 612,480.36 = 142,112.60 : x
  2. Step 2: Convert to fraction form
    408,276.44/612,480.36 = 142,112.60/x
  3. Step 3: Cross multiply
    408,276.44x = 612,480.36 × 142,112.60
  4. Step 4: Simplify right side
    408,276.44x = 87,041,176,408.54
  5. Step 5: Solve for x
    x = 87,041,176,408.54/408,276.44
  6. Step 6: Final answer
    x = 213,191.77

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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.