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Finding the Fourth Proportional to 278,995.26, 418,546.77 and 119,068.86

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Solution

The fourth proportional to 278,995.26, 418,546.77 and 119,068.86 is: 178,626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,995.26 : 418,546.77 = 119,068.86 : x
  2. Step 2: Convert to fraction form
    278,995.26/418,546.77 = 119,068.86/x
  3. Step 3: Cross multiply
    278,995.26x = 418,546.77 × 119,068.86
  4. Step 4: Simplify right side
    278,995.26x = 49,835,886,760.58
  5. Step 5: Solve for x
    x = 49,835,886,760.58/278,995.26
  6. Step 6: Final answer
    x = 178,626.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.