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Finding the Fourth Proportional to 278,891.54, 418,509.04 and 110,383.20

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Solution

The fourth proportional to 278,891.54, 418,509.04 and 110,383.20 is: 165,642.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,891.54 : 418,509.04 = 110,383.20 : x
  2. Step 2: Convert to fraction form
    278,891.54/418,509.04 = 110,383.20/x
  3. Step 3: Cross multiply
    278,891.54x = 418,509.04 × 110,383.20
  4. Step 4: Simplify right side
    278,891.54x = 46,196,367,064.13
  5. Step 5: Solve for x
    x = 46,196,367,064.13/278,891.54
  6. Step 6: Final answer
    x = 165,642.77

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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.