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Finding the Fourth Proportional to 278,474.36, 384,294.96 and 151,150

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Solution

The fourth proportional to 278,474.36, 384,294.96 and 151,150 is: 208,587.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,474.36 : 384,294.96 = 151,150 : x
  2. Step 2: Convert to fraction form
    278,474.36/384,294.96 = 151,150/x
  3. Step 3: Cross multiply
    278,474.36x = 384,294.96 × 151,150
  4. Step 4: Simplify right side
    278,474.36x = 58,086,183,204
  5. Step 5: Solve for x
    x = 58,086,183,204/278,474.36
  6. Step 6: Final answer
    x = 208,587.19

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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.