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Finding the Fourth Proportional to 494,834.36, 682,830.56 and 290,893.86

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Solution

The fourth proportional to 494,834.36, 682,830.56 and 290,893.86 is: 401,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,834.36 : 682,830.56 = 290,893.86 : x
  2. Step 2: Convert to fraction form
    494,834.36/682,830.56 = 290,893.86/x
  3. Step 3: Cross multiply
    494,834.36x = 682,830.56 × 290,893.86
  4. Step 4: Simplify right side
    494,834.36x = 198,631,215,869.89
  5. Step 5: Solve for x
    x = 198,631,215,869.89/494,834.36
  6. Step 6: Final answer
    x = 401,409.51

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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.