Many Through or something else?

Hi! I'm really confused on how to achieve the following. I have 4 tables

• Products (with Product model)
• Product prices ( with ProductPrice model)
• Contracts (with Contract model)
• Contracts Product Prices (since it's the pivot table, no model)

a Product can have multiple prices

    public function prices()
    {
        return $this->hasMany(ProductPrice::class);
    }

A price belongs to a product

    public function product()
    {
        return $this->belongsTo(Product::class);
    }

A contract has many product prices

    public function productPrices()
    {
        return $this->belongsToMany(ProductPrice::class);
    }

but how do I get the products from the contracts doing $contract->products ?

I tried

    public function products()
    {
        return $this->hasManyThrough(Product::class, ProductPrice::class);
    }

but it's not working, telling me Column not found: 1054 Unknown column 'product_prices.contract_id' in 'field list'

I'm not quite sure how to formulate it properly.

Thanks!