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Finding the Fourth Proportional to 312,234.49, 430,894.03 and 191,352.42

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Solution

The fourth proportional to 312,234.49, 430,894.03 and 191,352.42 is: 264,072.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,234.49 : 430,894.03 = 191,352.42 : x
  2. Step 2: Convert to fraction form
    312,234.49/430,894.03 = 191,352.42/x
  3. Step 3: Cross multiply
    312,234.49x = 430,894.03 × 191,352.42
  4. Step 4: Simplify right side
    312,234.49x = 82,452,615,404.05
  5. Step 5: Solve for x
    x = 82,452,615,404.05/312,234.49
  6. Step 6: Final answer
    x = 264,072.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.