The real distance between a village shop and a park is $1.2 \mathrm{~km}$. The distance between them on a map is $4 \mathrm{~cm}$.
What is the scale of the map?
Write your answer as a ratio in its simplest form.

Step 1 ：\(\text{We have the real distance between the shop and the park: } 1.2 \text{ km}\)

Step 2 ：\(\text{We have the distance on the map: } 4 \text{ cm}\)

Step 3 ：\(\text{To find the scale, we need to find the ratio between the map distance and the real distance}\)

Step 4 ：\(\text{Scale} = \frac{\text{Map Distance}}{\text{Real Distance}}\)

Step 5 ：\(\text{Scale} = \frac{4 \text{ cm}}{1.2 \text{ km}}\)

Step 6 ：\(\text{Since we need the scale in the same units, we convert 1.2 km to cm}\)

Step 7 ：\(1.2 \text{ km} = 1.2 \times 100000 \text{ cm} = 120000 \text{ cm}\)

Step 8 ：\(\text{Scale} = \frac{4 \text{ cm}}{120000 \text{ cm}}\)

Step 9 ：\(\text{Simplify the fraction}\)

Step 10 ：\(\text{Scale} = \frac{1}{30000}\)

Step 11 ：\(\boxed{1:30000}\)