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Finding the Fourth Proportional to 494,354.66, 682,214.79 and 290,414.16

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Solution

The fourth proportional to 494,354.66, 682,214.79 and 290,414.16 is: 400,774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,354.66 : 682,214.79 = 290,414.16 : x
  2. Step 2: Convert to fraction form
    494,354.66/682,214.79 = 290,414.16/x
  3. Step 3: Cross multiply
    494,354.66x = 682,214.79 × 290,414.16
  4. Step 4: Simplify right side
    494,354.66x = 198,124,835,177.43
  5. Step 5: Solve for x
    x = 198,124,835,177.43/494,354.66
  6. Step 6: Final answer
    x = 400,774.69

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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.