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Finding the Fourth Proportional to 300,987.78, 451,519.32 and 111,416.16

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Solution

The fourth proportional to 300,987.78, 451,519.32 and 111,416.16 is: 167,138.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,987.78 : 451,519.32 = 111,416.16 : x
  2. Step 2: Convert to fraction form
    300,987.78/451,519.32 = 111,416.16/x
  3. Step 3: Cross multiply
    300,987.78x = 451,519.32 × 111,416.16
  4. Step 4: Simplify right side
    300,987.78x = 50,306,548,800.21
  5. Step 5: Solve for x
    x = 50,306,548,800.21/300,987.78
  6. Step 6: Final answer
    x = 167,138.18

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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.