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Finding the Fourth Proportional to 399,615.75, 599,719.48 and 189,254.30

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Solution

The fourth proportional to 399,615.75, 599,719.48 and 189,254.30 is: 284,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,615.75 : 599,719.48 = 189,254.30 : x
  2. Step 2: Convert to fraction form
    399,615.75/599,719.48 = 189,254.30/x
  3. Step 3: Cross multiply
    399,615.75x = 599,719.48 × 189,254.30
  4. Step 4: Simplify right side
    399,615.75x = 113,499,486,912.03
  5. Step 5: Solve for x
    x = 113,499,486,912.03/399,615.75
  6. Step 6: Final answer
    x = 284,021.56

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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.