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Finding the Fourth Proportional to 300,200.61, 414,400.08 and 203,536.86

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Solution

The fourth proportional to 300,200.61, 414,400.08 and 203,536.86 is: 280,964.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,200.61 : 414,400.08 = 203,536.86 : x
  2. Step 2: Convert to fraction form
    300,200.61/414,400.08 = 203,536.86/x
  3. Step 3: Cross multiply
    300,200.61x = 414,400.08 × 203,536.86
  4. Step 4: Simplify right side
    300,200.61x = 84,345,691,066.95
  5. Step 5: Solve for x
    x = 84,345,691,066.95/300,200.61
  6. Step 6: Final answer
    x = 280,964.42

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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.