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Finding the Fourth Proportional to 459,912.77, 690,314.07 and 331,960.97

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Solution

The fourth proportional to 459,912.77, 690,314.07 and 331,960.97 is: 498,262.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,912.77 : 690,314.07 = 331,960.97 : x
  2. Step 2: Convert to fraction form
    459,912.77/690,314.07 = 331,960.97/x
  3. Step 3: Cross multiply
    459,912.77x = 690,314.07 × 331,960.97
  4. Step 4: Simplify right side
    459,912.77x = 229,157,328,281.85
  5. Step 5: Solve for x
    x = 229,157,328,281.85/459,912.77
  6. Step 6: Final answer
    x = 498,262.59

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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.