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Finding the Fourth Proportional to 339,514.44, 508,309.32 and 282,127.56

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Solution

The fourth proportional to 339,514.44, 508,309.32 and 282,127.56 is: 422,391.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,514.44 : 508,309.32 = 282,127.56 : x
  2. Step 2: Convert to fraction form
    339,514.44/508,309.32 = 282,127.56/x
  3. Step 3: Cross multiply
    339,514.44x = 508,309.32 × 282,127.56
  4. Step 4: Simplify right side
    339,514.44x = 143,408,068,176.86
  5. Step 5: Solve for x
    x = 143,408,068,176.86/339,514.44
  6. Step 6: Final answer
    x = 422,391.66

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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.