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Finding the Fourth Proportional to 278,473.44, 384,293.70 and 151,149

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Solution

The fourth proportional to 278,473.44, 384,293.70 and 151,149 is: 208,585.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,473.44 : 384,293.70 = 151,149 : x
  2. Step 2: Convert to fraction form
    278,473.44/384,293.70 = 151,149/x
  3. Step 3: Cross multiply
    278,473.44x = 384,293.70 × 151,149
  4. Step 4: Simplify right side
    278,473.44x = 58,085,608,461.30
  5. Step 5: Solve for x
    x = 58,085,608,461.30/278,473.44
  6. Step 6: Final answer
    x = 208,585.81

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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.