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Finding the Fourth Proportional to 300,770, 451,185.48 and 111,280.40

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Solution

The fourth proportional to 300,770, 451,185.48 and 111,280.40 is: 166,931.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,770 : 451,185.48 = 111,280.40 : x
  2. Step 2: Convert to fraction form
    300,770/451,185.48 = 111,280.40/x
  3. Step 3: Cross multiply
    300,770x = 451,185.48 × 111,280.40
  4. Step 4: Simplify right side
    300,770x = 50,208,100,688.59
  5. Step 5: Solve for x
    x = 50,208,100,688.59/300,770
  6. Step 6: Final answer
    x = 166,931.88

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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.