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Finding the Fourth Proportional to 408,276.94, 612,481.11 and 142,113.10

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Solution

The fourth proportional to 408,276.94, 612,481.11 and 142,113.10 is: 213,192.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,276.94 : 612,481.11 = 142,113.10 : x
  2. Step 2: Convert to fraction form
    408,276.94/612,481.11 = 142,113.10/x
  3. Step 3: Cross multiply
    408,276.94x = 612,481.11 × 142,113.10
  4. Step 4: Simplify right side
    408,276.94x = 87,041,589,233.54
  5. Step 5: Solve for x
    x = 87,041,589,233.54/408,276.94
  6. Step 6: Final answer
    x = 213,192.52

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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.