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Finding the Fourth Proportional to 207,364.86, 311,222.31 and 143,285.76

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Solution

The fourth proportional to 207,364.86, 311,222.31 and 143,285.76 is: 215,049.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,364.86 : 311,222.31 = 143,285.76 : x
  2. Step 2: Convert to fraction form
    207,364.86/311,222.31 = 143,285.76/x
  3. Step 3: Cross multiply
    207,364.86x = 311,222.31 × 143,285.76
  4. Step 4: Simplify right side
    207,364.86x = 44,593,725,217.31
  5. Step 5: Solve for x
    x = 44,593,725,217.31/207,364.86
  6. Step 6: Final answer
    x = 215,049.58

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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.