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Finding the Fourth Proportional to 278,537.56, 384,383.42 and 163,821.03

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Solution

The fourth proportional to 278,537.56, 384,383.42 and 163,821.03 is: 226,073.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,537.56 : 384,383.42 = 163,821.03 : x
  2. Step 2: Convert to fraction form
    278,537.56/384,383.42 = 163,821.03/x
  3. Step 3: Cross multiply
    278,537.56x = 384,383.42 × 163,821.03
  4. Step 4: Simplify right side
    278,537.56x = 62,970,089,216.76
  5. Step 5: Solve for x
    x = 62,970,089,216.76/278,537.56
  6. Step 6: Final answer
    x = 226,073.96

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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.