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Finding the Fourth Proportional to 313,229.56, 469,514.70 and 199,463.86

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Solution

The fourth proportional to 313,229.56, 469,514.70 and 199,463.86 is: 298,985.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,229.56 : 469,514.70 = 199,463.86 : x
  2. Step 2: Convert to fraction form
    313,229.56/469,514.70 = 199,463.86/x
  3. Step 3: Cross multiply
    313,229.56x = 469,514.70 × 199,463.86
  4. Step 4: Simplify right side
    313,229.56x = 93,651,214,388.74
  5. Step 5: Solve for x
    x = 93,651,214,388.74/313,229.56
  6. Step 6: Final answer
    x = 298,985.88

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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.