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Finding the Fourth Proportional to 278,896.10, 384,879.60 and 151,571.70

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Solution

The fourth proportional to 278,896.10, 384,879.60 and 151,571.70 is: 209,170.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,896.10 : 384,879.60 = 151,571.70 : x
  2. Step 2: Convert to fraction form
    278,896.10/384,879.60 = 151,571.70/x
  3. Step 3: Cross multiply
    278,896.10x = 384,879.60 × 151,571.70
  4. Step 4: Simplify right side
    278,896.10x = 58,336,855,267.32
  5. Step 5: Solve for x
    x = 58,336,855,267.32/278,896.10
  6. Step 6: Final answer
    x = 209,170.57

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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.