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Finding the Fourth Proportional to 323,390.86, 443,047.63 and 311,269.94

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Solution

The fourth proportional to 323,390.86, 443,047.63 and 311,269.94 is: 426,441.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,390.86 : 443,047.63 = 311,269.94 : x
  2. Step 2: Convert to fraction form
    323,390.86/443,047.63 = 311,269.94/x
  3. Step 3: Cross multiply
    323,390.86x = 443,047.63 × 311,269.94
  4. Step 4: Simplify right side
    323,390.86x = 137,907,409,207.24
  5. Step 5: Solve for x
    x = 137,907,409,207.24/323,390.86
  6. Step 6: Final answer
    x = 426,441.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.