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Finding the Fourth Proportional to 256,942.42, 385,394.19 and 79,450.54

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Solution

The fourth proportional to 256,942.42, 385,394.19 and 79,450.54 is: 119,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,942.42 : 385,394.19 = 79,450.54 : x
  2. Step 2: Convert to fraction form
    256,942.42/385,394.19 = 79,450.54/x
  3. Step 3: Cross multiply
    256,942.42x = 385,394.19 × 79,450.54
  4. Step 4: Simplify right side
    256,942.42x = 30,619,776,508.36
  5. Step 5: Solve for x
    x = 30,619,776,508.36/256,942.42
  6. Step 6: Final answer
    x = 119,169.80

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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.