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Finding the Fourth Proportional to 311,717.84, 467,576.72 and 143,379.72

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Solution

The fourth proportional to 311,717.84, 467,576.72 and 143,379.72 is: 215,069.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,717.84 : 467,576.72 = 143,379.72 : x
  2. Step 2: Convert to fraction form
    311,717.84/467,576.72 = 143,379.72/x
  3. Step 3: Cross multiply
    311,717.84x = 467,576.72 × 143,379.72
  4. Step 4: Simplify right side
    311,717.84x = 67,041,019,192.12
  5. Step 5: Solve for x
    x = 67,041,019,192.12/311,717.84
  6. Step 6: Final answer
    x = 215,069.56

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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.