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Finding the Fourth Proportional to 300,633.69, 414,675.12 and 193,339.47

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Solution

The fourth proportional to 300,633.69, 414,675.12 and 193,339.47 is: 266,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,633.69 : 414,675.12 = 193,339.47 : x
  2. Step 2: Convert to fraction form
    300,633.69/414,675.12 = 193,339.47/x
  3. Step 3: Cross multiply
    300,633.69x = 414,675.12 × 193,339.47
  4. Step 4: Simplify right side
    300,633.69x = 80,173,067,922.99
  5. Step 5: Solve for x
    x = 80,173,067,922.99/300,633.69
  6. Step 6: Final answer
    x = 266,680.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.