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Finding the Fourth Proportional to 263,143.44, 394,146.54 and 138,222

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Solution

The fourth proportional to 263,143.44, 394,146.54 and 138,222 is: 207,034.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,143.44 : 394,146.54 = 138,222 : x
  2. Step 2: Convert to fraction form
    263,143.44/394,146.54 = 138,222/x
  3. Step 3: Cross multiply
    263,143.44x = 394,146.54 × 138,222
  4. Step 4: Simplify right side
    263,143.44x = 54,479,723,051.88
  5. Step 5: Solve for x
    x = 54,479,723,051.88/263,143.44
  6. Step 6: Final answer
    x = 207,034.32

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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.