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Finding the Fourth Proportional to 278,896.86, 384,862.90 and 158,039.59

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Solution

The fourth proportional to 278,896.86, 384,862.90 and 158,039.59 is: 218,086.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,896.86 : 384,862.90 = 158,039.59 : x
  2. Step 2: Convert to fraction form
    278,896.86/384,862.90 = 158,039.59/x
  3. Step 3: Cross multiply
    278,896.86x = 384,862.90 × 158,039.59
  4. Step 4: Simplify right side
    278,896.86x = 60,823,574,922.21
  5. Step 5: Solve for x
    x = 60,823,574,922.21/278,896.86
  6. Step 6: Final answer
    x = 218,086.27

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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.