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Finding the Fourth Proportional to 263,397.90, 394,936.86 and 103,282

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Solution

The fourth proportional to 263,397.90, 394,936.86 and 103,282 is: 154,860.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,397.90 : 394,936.86 = 103,282 : x
  2. Step 2: Convert to fraction form
    263,397.90/394,936.86 = 103,282/x
  3. Step 3: Cross multiply
    263,397.90x = 394,936.86 × 103,282
  4. Step 4: Simplify right side
    263,397.90x = 40,789,868,774.52
  5. Step 5: Solve for x
    x = 40,789,868,774.52/263,397.90
  6. Step 6: Final answer
    x = 154,860.27

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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.