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Finding the Fourth Proportional to 312,761.70, 468,780.08 and 143,927.73

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Solution

The fourth proportional to 312,761.70, 468,780.08 and 143,927.73 is: 215,724.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,761.70 : 468,780.08 = 143,927.73 : x
  2. Step 2: Convert to fraction form
    312,761.70/468,780.08 = 143,927.73/x
  3. Step 3: Cross multiply
    312,761.70x = 468,780.08 × 143,927.73
  4. Step 4: Simplify right side
    312,761.70x = 67,470,452,063.98
  5. Step 5: Solve for x
    x = 67,470,452,063.98/312,761.70
  6. Step 6: Final answer
    x = 215,724.79

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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.