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Finding the Fourth Proportional to 399,858.87, 599,819.21 and 133,620.32

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Solution

The fourth proportional to 399,858.87, 599,819.21 and 133,620.32 is: 200,440.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,858.87 : 599,819.21 = 133,620.32 : x
  2. Step 2: Convert to fraction form
    399,858.87/599,819.21 = 133,620.32/x
  3. Step 3: Cross multiply
    399,858.87x = 599,819.21 × 133,620.32
  4. Step 4: Simplify right side
    399,858.87x = 80,148,034,782.35
  5. Step 5: Solve for x
    x = 80,148,034,782.35/399,858.87
  6. Step 6: Final answer
    x = 200,440.81

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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.