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Finding the Fourth Proportional to 300,993.75, 415,369.18 and 165,025.45

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Solution

The fourth proportional to 300,993.75, 415,369.18 and 165,025.45 is: 227,733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,993.75 : 415,369.18 = 165,025.45 : x
  2. Step 2: Convert to fraction form
    300,993.75/415,369.18 = 165,025.45/x
  3. Step 3: Cross multiply
    300,993.75x = 415,369.18 × 165,025.45
  4. Step 4: Simplify right side
    300,993.75x = 68,546,484,394.64
  5. Step 5: Solve for x
    x = 68,546,484,394.64/300,993.75
  6. Step 6: Final answer
    x = 227,733.91

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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.