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Finding the Fourth Proportional to 399,493.44, 599,008.32 and 189,129.60

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Solution

The fourth proportional to 399,493.44, 599,008.32 and 189,129.60 is: 283,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,493.44 : 599,008.32 = 189,129.60 : x
  2. Step 2: Convert to fraction form
    399,493.44/599,008.32 = 189,129.60/x
  3. Step 3: Cross multiply
    399,493.44x = 599,008.32 × 189,129.60
  4. Step 4: Simplify right side
    399,493.44x = 113,290,203,958.27
  5. Step 5: Solve for x
    x = 113,290,203,958.27/399,493.44
  6. Step 6: Final answer
    x = 283,584.64

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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.