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Finding the Fourth Proportional to 643,861.76, 965,976.96 and 311,624.96

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Solution

The fourth proportional to 643,861.76, 965,976.96 and 311,624.96 is: 467,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,861.76 : 965,976.96 = 311,624.96 : x
  2. Step 2: Convert to fraction form
    643,861.76/965,976.96 = 311,624.96/x
  3. Step 3: Cross multiply
    643,861.76x = 965,976.96 × 311,624.96
  4. Step 4: Simplify right side
    643,861.76x = 301,022,531,520.92
  5. Step 5: Solve for x
    x = 301,022,531,520.92/643,861.76
  6. Step 6: Final answer
    x = 467,526.65

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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.