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Finding the Fourth Proportional to 278,074.66, 417,111.82 and 100,540.15

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Solution

The fourth proportional to 278,074.66, 417,111.82 and 100,540.15 is: 150,810.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,074.66 : 417,111.82 = 100,540.15 : x
  2. Step 2: Convert to fraction form
    278,074.66/417,111.82 = 100,540.15/x
  3. Step 3: Cross multiply
    278,074.66x = 417,111.82 × 100,540.15
  4. Step 4: Simplify right side
    278,074.66x = 41,936,484,100.62
  5. Step 5: Solve for x
    x = 41,936,484,100.62/278,074.66
  6. Step 6: Final answer
    x = 150,810.16

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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.