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Finding the Fourth Proportional to 300,771, 451,186.98 and 111,281.40

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Solution

The fourth proportional to 300,771, 451,186.98 and 111,281.40 is: 166,933.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,771 : 451,186.98 = 111,281.40 : x
  2. Step 2: Convert to fraction form
    300,771/451,186.98 = 111,281.40/x
  3. Step 3: Cross multiply
    300,771x = 451,186.98 × 111,281.40
  4. Step 4: Simplify right side
    300,771x = 50,208,718,796.17
  5. Step 5: Solve for x
    x = 50,208,718,796.17/300,771
  6. Step 6: Final answer
    x = 166,933.38

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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.