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Finding the Fourth Proportional to 408,574.60, 612,861.82 and 128,114.44

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Solution

The fourth proportional to 408,574.60, 612,861.82 and 128,114.44 is: 192,171.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,574.60 : 612,861.82 = 128,114.44 : x
  2. Step 2: Convert to fraction form
    408,574.60/612,861.82 = 128,114.44/x
  3. Step 3: Cross multiply
    408,574.60x = 612,861.82 × 128,114.44
  4. Step 4: Simplify right side
    408,574.60x = 78,516,448,866.68
  5. Step 5: Solve for x
    x = 78,516,448,866.68/408,574.60
  6. Step 6: Final answer
    x = 192,171.63

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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.