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Finding the Fourth Proportional to 414,651.78, 572,396.01 and 278,764.54

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Solution

The fourth proportional to 414,651.78, 572,396.01 and 278,764.54 is: 384,813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,651.78 : 572,396.01 = 278,764.54 : x
  2. Step 2: Convert to fraction form
    414,651.78/572,396.01 = 278,764.54/x
  3. Step 3: Cross multiply
    414,651.78x = 572,396.01 × 278,764.54
  4. Step 4: Simplify right side
    414,651.78x = 159,563,706,169.68
  5. Step 5: Solve for x
    x = 159,563,706,169.68/414,651.78
  6. Step 6: Final answer
    x = 384,813.75

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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.