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Finding the Fourth Proportional to 451,992.16, 677,968.78 and 136,439.64

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Solution

The fourth proportional to 451,992.16, 677,968.78 and 136,439.64 is: 204,653.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,992.16 : 677,968.78 = 136,439.64 : x
  2. Step 2: Convert to fraction form
    451,992.16/677,968.78 = 136,439.64/x
  3. Step 3: Cross multiply
    451,992.16x = 677,968.78 × 136,439.64
  4. Step 4: Simplify right side
    451,992.16x = 92,501,816,274.44
  5. Step 5: Solve for x
    x = 92,501,816,274.44/451,992.16
  6. Step 6: Final answer
    x = 204,653.59

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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.