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Finding the Fourth Proportional to 278,894.26, 384,879.77 and 151,578.06

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Solution

The fourth proportional to 278,894.26, 384,879.77 and 151,578.06 is: 209,180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,894.26 : 384,879.77 = 151,578.06 : x
  2. Step 2: Convert to fraction form
    278,894.26/384,879.77 = 151,578.06/x
  3. Step 3: Cross multiply
    278,894.26x = 384,879.77 × 151,578.06
  4. Step 4: Simplify right side
    278,894.26x = 58,339,328,869.85
  5. Step 5: Solve for x
    x = 58,339,328,869.85/278,894.26
  6. Step 6: Final answer
    x = 209,180.82

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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.