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Finding the Fourth Proportional to 300,600, 450,969.12 and 103,608

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Solution

The fourth proportional to 300,600, 450,969.12 and 103,608 is: 155,435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,600 : 450,969.12 = 103,608 : x
  2. Step 2: Convert to fraction form
    300,600/450,969.12 = 103,608/x
  3. Step 3: Cross multiply
    300,600x = 450,969.12 × 103,608
  4. Step 4: Simplify right side
    300,600x = 46,724,008,584.96
  5. Step 5: Solve for x
    x = 46,724,008,584.96/300,600
  6. Step 6: Final answer
    x = 155,435.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.