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Finding the Fourth Proportional to 493,409.39, 680,910.53 and 289,463.78

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Solution

The fourth proportional to 493,409.39, 680,910.53 and 289,463.78 is: 399,463.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,409.39 : 680,910.53 = 289,463.78 : x
  2. Step 2: Convert to fraction form
    493,409.39/680,910.53 = 289,463.78/x
  3. Step 3: Cross multiply
    493,409.39x = 680,910.53 × 289,463.78
  4. Step 4: Simplify right side
    493,409.39x = 197,098,936,110.56
  5. Step 5: Solve for x
    x = 197,098,936,110.56/493,409.39
  6. Step 6: Final answer
    x = 399,463.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.