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Finding the Fourth Proportional to 311,655.31, 467,316.81 and 161,744.66

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Solution

The fourth proportional to 311,655.31, 467,316.81 and 161,744.66 is: 242,530.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,655.31 : 467,316.81 = 161,744.66 : x
  2. Step 2: Convert to fraction form
    311,655.31/467,316.81 = 161,744.66/x
  3. Step 3: Cross multiply
    311,655.31x = 467,316.81 × 161,744.66
  4. Step 4: Simplify right side
    311,655.31x = 75,585,997,961.59
  5. Step 5: Solve for x
    x = 75,585,997,961.59/311,655.31
  6. Step 6: Final answer
    x = 242,530.76

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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.