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Finding the Fourth Proportional to 339,514.20, 509,324.13 and 102,800.52

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Solution

The fourth proportional to 339,514.20, 509,324.13 and 102,800.52 is: 154,216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,514.20 : 509,324.13 = 102,800.52 : x
  2. Step 2: Convert to fraction form
    339,514.20/509,324.13 = 102,800.52/x
  3. Step 3: Cross multiply
    339,514.20x = 509,324.13 × 102,800.52
  4. Step 4: Simplify right side
    339,514.20x = 52,358,785,412.55
  5. Step 5: Solve for x
    x = 52,358,785,412.55/339,514.20
  6. Step 6: Final answer
    x = 154,216.78

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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.