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Finding the Fourth Proportional to 311,389.92, 465,378.66 and 227,327.11

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Solution

The fourth proportional to 311,389.92, 465,378.66 and 227,327.11 is: 339,745.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,389.92 : 465,378.66 = 227,327.11 : x
  2. Step 2: Convert to fraction form
    311,389.92/465,378.66 = 227,327.11/x
  3. Step 3: Cross multiply
    311,389.92x = 465,378.66 × 227,327.11
  4. Step 4: Simplify right side
    311,389.92x = 105,793,184,670.03
  5. Step 5: Solve for x
    x = 105,793,184,670.03/311,389.92
  6. Step 6: Final answer
    x = 339,745.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.