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Finding the Fourth Proportional to 300,497.58, 450,081.96 and 205,502.64

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Solution

The fourth proportional to 300,497.58, 450,081.96 and 205,502.64 is: 307,799.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,497.58 : 450,081.96 = 205,502.64 : x
  2. Step 2: Convert to fraction form
    300,497.58/450,081.96 = 205,502.64/x
  3. Step 3: Cross multiply
    300,497.58x = 450,081.96 × 205,502.64
  4. Step 4: Simplify right side
    300,497.58x = 92,493,030,996.37
  5. Step 5: Solve for x
    x = 92,493,030,996.37/300,497.58
  6. Step 6: Final answer
    x = 307,799.59

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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.