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Finding the Fourth Proportional to 339,163.20, 508,975.20 and 189,403.20

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Solution

The fourth proportional to 339,163.20, 508,975.20 and 189,403.20 is: 284,233.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,163.20 : 508,975.20 = 189,403.20 : x
  2. Step 2: Convert to fraction form
    339,163.20/508,975.20 = 189,403.20/x
  3. Step 3: Cross multiply
    339,163.20x = 508,975.20 × 189,403.20
  4. Step 4: Simplify right side
    339,163.20x = 96,401,531,600.64
  5. Step 5: Solve for x
    x = 96,401,531,600.64/339,163.20
  6. Step 6: Final answer
    x = 284,233.47

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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.