Как вставить массив данных в сводную таблицу с дополнительным столбцом?

Question

Модель ---------

public function purchases(){ 
return $this->belongsToMany('App\Purchase')->withPivot("cartoon","qty","rate","total"); 
}

Модель ----

public function SupplierProducts(){ 
return $this->belongsToMany('App\SupplierProduct')->withPivot("cartoon","qty","rate","total"); 
}

Контроллер -------

 $purchase->SupplierProducts()->sync($request->product_id,['cartoon'=> $request->cartoon,
                                                                'qty'=> $request->qty,
                                                                'rate'=> $request->rate,
                                                               'total'=> $request->total]);